Write the Range | Function Rule - Level 1. To find the domain and range of an equation y = f(x), determine the values of the independent variable x for which the function is defined. The four inequality signs are: less than ( < ), greater than ( > ), less than or equal ( ), and greater than or equal ( ). Find the domain of the following function: Once again this is a rational function, and the concern is to avoid division by 0. Note: If the arrow were pointing to the left, the domain would be the x-value. Terms in this set (61) (-3,4) Find the domain in interval notation (0,) Find the domain in interval notation 9a86d1f05235488fa9975b7651af5a93, 369706eadebf4edeb3b6470a860c51ab OpenStax is part of Rice University, which is a 501 The Algebra 1 Common Core Regents asks students to identify either the, the multiple choice is written in both set builder. In interval notation the domain of this function is {eq}x\in (-\infty, -2) \bigcup\nolimits (-2, \infty) {/eq}. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. To express a set of numbers that includes both the minimum and maximum values, use square brackets [ ] for the endpoints of the set. We hope its effective! Write positive and negative infinity or. Use negative infinity (-) to mean that the solution set is unbounded to the left of the number line.Answer: (-, 9), Solution: Use a closed dot at 5 and shade all real numbers including 5 and above. So, domain of sin-1(x) is. WebFIND DOMAIN AND RANGE IN INTERVAL NOTATION. Domain: Range: 3. The range can therefore be written in interval notation as: The union symbol is used when we have a function whose domain or range cannot be described with just a single interval. However, in set notation, rather than using the symbol "," we use the word "or" by convention. This compilation of domain and range worksheet pdfs provides 8th grade and high school students with ample practice in determining the domain or the set of possible input values (x) and range, the resultant or output values (y) using a variety of exercises with ordered pairs presented on graphs and in table format. Step 2: Click the blue arrow to submit. Edit. We write that Range as [ min,). If this doesn't solve the problem, visit our Support Center . Let \(x = 4\), \(g(4) = 2\sqrt{ 4 4}\), so \(g(4) = 0\). f ( x) = x 3 ( x + 3) ( x + 1) ( x 2) Always feel free to revisit this page if you ever have any questions aboutinterval notation. Students drag the correct answer onto the designated place on the slide. ?]6L wEju5Ro{FX\T[\-7X^n3MHBf5:F5LR@$l)RB~^| E2|,/[,,Wb4)0rP{w}BzOb*xjM4T=&6Sj{p!6Il_B{&!au=x{;L{pJ4IcF njpvdEpU*zSo{rD+uhV*J|nAu@VA ReJ6'"Ax[w?-{K$ $SD@sB@|JMSt+%X 4D9){0x@M-!jPoq5j2wSUQ|TN]q*)P>+!vzc'h$Zr..h/Z=CihhQPtl1kbcVllX,)U*b*Kp*X}z_Q9m Calculate x-coordinate of vertex: x = -b/2a = -6/ (2*3) = -1. My students find the chart invaluable especially the Vertical Graph depictions. (3,7) includes 3.1 and 3.007 and 3.00000000002, but it does not include 3. In order to define the domain and range of a function we can represent it in the form of an interval in the real number space. It includes:1. xP We can use interval notation to show that a value falls between two endpoints. We know that. Save. Interval notation only includes the lower-bound (beginning) and upper-bound (ending) numbers or points, which are 1 and 5, respectively. Domain: Range: 2. Therefore, the domain of the function f(x) = 5x + 3 is all real numbers, or merin_joseph7. WebFind the domain and range of f in interval notation. WebFind the domain and range of f in interval notation. To find the domain and range of an equation y = f(x), determine the values of the independent variable x for which the function is defined. We'll be happy to give you a call. *KR]}BBn OZf -+# _*s7?6& Kx?e3l%O}e k32b,o/$le/Ivvz Solution: Use an open dot at -2 and shade all real numbers greater than -2. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. Test. Use a closed dot at 4 and shade all real numbers below 4, including 4. Identify the set of all the y-coordinates in the functions graph to determine the range.. Use positive infinity (+) to mean that the solution set is unbounded to the right of the number line.Answer: [5, +). WebWhat is domain and range? In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. WebFor the following exercises, write the domain and range of each function using interval notation. Parallel, Perpendicular and Intersecting Lines, Converting between Fractions and Decimals, Convert between Fractions, Decimals, and Percents. Identify the domain and range and write them in ascending order for each of the tables featured in these domain and range pdf worksheets. Restart your browser. If you have an inequality like: -2x<5, then the interval notation is: [-2, 5) A square bracket is on the -2 because it is included in the interval. Hint: Start by thinking about the meaning of each function's input and output quantities and the values those quantities can assume. 1. x 4 0 1._____ 1-6) Find the domain and range of each graph using interval notation. In the above table, the range of all trigonometric functions are given. Use FIGURE 1 to answer problems 1 through 7. a. Domain is [-3, 4], Range is [-2, 4] b. Domain is [-3, 4], Range is [-2, 2] c. Domain is [-2, 4], Range is [-3, 5] d. Domain is [-2, 2], Range is [0, 4] e. Domain is [-2, 4], Range is [-3, 4] f ( x) = x 3 ( x + 3) ( x + 1) ( x 2) Final answer. G-:g"xl&%s&&-vzd025S+ S{-KwLsWp0'Yd02&Mj2YhT\8 G#lcg64Ww]T7]5pps8Xe L1ACK~. The 5 gets a parentheses because it is not in the interval. Find the domain and range of the following function: f(x) = 5x + 3 Solution Any real number, negative, positive or zero can be replaced with x in the given function. Quizzes with auto-grading, and real-time student data. Test. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Recall that the domain of f(x) = x2 is all real numbers. Let \(x = 4\). The range is the set {3, 2, 5, 6}. Step 1/1. Analyze each graph, write the minimum and maximum points for both domain and range. elgertm. When using interval notation, domain and range are written as intervals of values. How do you exclude numbers in interval notation? For example, find the range of 3x 2 + 6x -2. Thus, we can write the domain as: We used parentheses rather than brackets around each endpoint because the endpoints are negative and positive infinity, which by definition have no bound. [-1, 1] And also, we know the fact, Domain of inverse function = Range of the function. Determine the domain and range of the cos function. a. That is, range of sin (x) is. Write the Domain and Range | Relation - Ordered Pairs. Put positive infinity above to indicate that the solution set is unbounded to the right of the number line (or all positive real numbers).Step 2. This batch presents the ordered pairs in tables with input and output columns. WebEven with such a small range of numbers, it is already cumbersome to list them. WebEven with such a small range of numbers, it is already cumbersome to list them. Here are some examples of functions where the domain can be found but the range would be too difficult to find, and out of the scope of this course: Find the domain of the following functions: \(f(x) = \dfrac{x 4 }{x^2 2x 15 }\). The general form of this equation would be x ay 2 by c the graph starts at x 5 and moves infinitely along the positive x axis for any value of y chosen. Domain and Range Interval Notation. x > 4 WebInterval notation is a way of writing solutions to algebraic inequalities. Also, solution sets can have one square bracket and one parenthesis on either side, depending on the inclusion or exclusion of the boundaries. Students will become more comfortable with identifying, with this repeated practice, as well as enjoy playing this game!This Purchase includes:GAME PLAY INSTRUCTIONS: Present these instructions to students. Students match 20 cards of graphs, scatter plots, sets of coordinates, mappings, tables to cutouts of each relation's correct, in this activity. The domain of a graph consists of all the input values shown on the x-axis. The smallest term in the interval is written first, followed by a comma, and then the largest term. Legal. In the above table, the range of all trigonometric functions are given. WebFigure 2. There are no x-values that will result in the function being undefined and matter what real x-value we plug in, the result will always be a real y-value. o Domain: Preview o Range: Preview b. Lastly, use positive infinity (+) to indicate that the solution set is unbounded to the right of the number line. (Enter your answers in interval notation.) Consider the function f(x) = x2. Then, use a closed dot at 12 and shade all real numbers including 12 and below. \(g(4) = \sqrt{ 6 + (4) (4)^2}\) is negative, which is not allowed for the radicand. The coefficient is 2, and since its positive, the quadratic function opens upward. Mathematics. Domain of : (,)( ,) Range of : (,)( ,) ()= (,)( ,) Domain of : (, )( ,) Range of : (, )( ,) Example 2: List the domain and range of each of the following functions. Interval notation, as well as a couple other methods, allow us to more efficiently denote intervals. Interval notation symbols. If the arrow -value. Set the radicand greater than or equal to 0 and solve. In other words, any value from negative infinity to positive infinity will yield a real result. Web1. 1. This region between 2 and 3 will be in the domain of the function. WebDomain refers to input values the range refers to output values generated by the duty. This bundle is all you need to help your students visualize, using this Domino Practice Game!These items are intended to be used in this or, Students will practice matching graphs with their corresponding, notations. Explanation: Use a bracket (sometimes called a square bracket) to indicate that the endpoint is included in the interval, a parenthesis (sometimes called a round bracket) to indicate that it is not. Look at the graph shown below, it has a minimum (vertex) at (2,-4). Notation of Domain and Range of Function. . Look at the graph shown below, it has a minimum (vertex) at (2,-4). Note: If the arrow were pointing to the left, the domain would be the x-value. WebDomain and Range Interval Notation, Set Builder Notation, inequality notation, Parent Functions. . WebDomain and Range Worksheets. In order to define the domain and range of a function we can represent it in the form of an interval in the real number space. The domain of a function is all possible values of x that can be used as input to the function, which will result in a real number as the output. They then make the connection that the x-, vertical number lines.An interactive box with 36 graphs are also included to let, ) BUNDLE! Find the domain and range of the following function: f(x) = 5x + 3 Solution Any real number, negative, positive or zero can be replaced with x in the given function. Write the Domain and Range | Finite Graph. Final answer. Terms in this set (61) (-3,4) Find the domain in interval notation (0,) Find the domain in interval notation Set the radicand greater than or equal to zero to find the domain: \(\begin{aligned} x 4 &\geq 0 && \text{Set the radicand greater than or equal to 0 }\\ x &\geq 4 &&\text{ Solve the inequality } \\ D&:[4, \infty ) &&\text{Write the solution in interval notation }\end{aligned}\). WebDomain and Range using Interval Notation - YouTube Domain and Range using Interval Notation MaestasMath 3.12K subscribers Subscribe 841 163K views 9 years ago Pre Students also mark on their answer sheets wh, Rated 4.90 out of 5, based on 244 reviews. WebFIND DOMAIN AND RANGE IN INTERVAL NOTATION. This y-value denotes the edge of your range for the function. To use interval notation we need to first understand some of the commonly used symbols: [] - brackets denote a closed interval Range: {y 0} (remember to focus on bottom to top of the graph We can write the range in interval notation as: {y 0}. Edit. Most of the answers are in, as a set of points (relation). 9a86d1f05235488fa9975b7651af5a93, 369706eadebf4edeb3b6470a860c51ab OpenStax is part of Rice University, which is a 501 Domain and range of a parabola interval notation. WebList the domain and range in interval notation. WebInterval notation is a way of describing sets that include all real numbers between a lower limit that may or may not be included and an upper limit that may or may not be included. WebList the domain and range in interval notation. So, domain of sin-1(x) is. Here are some examples of inequalities. Students will match the original algebraic expressions to their answers to create the image of a flower. 1. x 4 0 1._____ 1-6) Find the domain and range of each graph using interval notation. (Enter your answers in interval notation.) Then, from looking at the graph or testing a few x-values, we can see that any x-value we plug in will result in a positive y-value. WebInterval notation is a way of writing solutions to algebraic inequalities. Bolster skills in identifying the domain and range of functions with infinite graphs. If the arrow -value. No glue, no scissors, but the same great results from hands-on activities. Therefore, the domain of the function f(x) = 5x + 3 is all real numbers, or On the first poster, they will find, (it will be noted on the poster which they should find), mark it on their answer sheet (included), then find their answer on the top of another poster in the room. For example example, given the function. [-1, 1] And also, we know the fact, Domain of inverse function = Range of the function. Finding domain and Range given a Table, Mapping, Equation, points on a graph, ordered pairs, 3. 7-9) Draw a function that satisfies the give domain and range. View the full answer. The table below shows the basic symbols used in interval notation and what they mean: When indicating the domain in interval notation, we need to keep the following in mind: Let's look at the same example as above, f(x) = x2 to see how interval notation is used. We can use interval notation to show that a value falls between two endpoints. DRAFT. For example, look at the function. The four inequality signs are: less than ( < ), greater than ( > ), less than or equal ( ), and greater than or equal ( ). Hint: Start by thinking about the meaning of each function's input and output quantities and the values those quantities can assume. 0% average accuracy. We know that. This download includes both a printable, digital version of the activity. (Enter your answers in interval notation.) WebThe range can therefore be written in interval notation as: [0, ) The union symbol is used when we have a function whose domain or range cannot be described with just a single interval. (a) The function sin1 has domain and range . Interval notation symbols. Use a closed dot at 8 and shade all real numbers including 8 and above. Restart your browser. Let \(x = 8\), \(g(8) = 2\sqrt{ 8 4}\), so \(g(8) = 4\). merin_joseph7. Quiz. The domain of a graph consists of all the input values shown on the x-axis. In the above table, the range of all trigonometric functions are given. WebDomain and Range Card Sort - Interval Notation Activity Builder by Desmos. WebTo find interval notation for a set of numbers, identify the minimum and maximum values of the set, and then use the appropriate symbols to represent the set. 1. Notice in the examples above that we described the domain and range using words. Combine the interval notations using the symbol. Write the Domain and Range | Relation - Mapping. Final answer. Graph the solution. In the context of interval notation, it simply means to combine two given intervals. M6[8E Z;vL3\GF$.. Because the function \(h(x) = 2x^2 + 4x 9\) is a quadratic of degree 2, when graphed, it is a parabola (without any breaks or holes). WebExpress the following in Interval Notation -8 x < 8 Preview this quiz on Quizizz. In interval notation, we use a square bracket [when the set includes the endpoint and a parenthesis (to indicate that the endpoint is either not included or the interval is unbounded. Test. 0% average accuracy. The first term is the left endpoint and the second term is the right endpoint. Domain of : (,)( ,) Range of : (,)( ,) ()= (,)( ,) Domain of : (, )( ,) Range of : (, )( ,) Example 2: List the domain and range of each of the following functions. The endpoint values are listed between brackets or parentheses. WebThe range can therefore be written in interval notation as: [0, ) The union symbol is used when we have a function whose domain or range cannot be described with just a single interval. hWYS9+z-Ua7$,&0bCmZ:>I&eN1#5s[3g The domain and range of the function are usually expressed in interval notation. The range is the set of possible output values, which are shown on the y-axis. We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. Domain and Range Interval Notation DRAFT. Use a closed dot () at the boundary point/s included in the solution. Edit. Played 0 times. 10 The union symbol can be read as "or" and it Calculate x-coordinate of vertex: x = -b/2a = -6/ (2*3) = -1. WebThis hands-on activity contains 35 different problems targeting a variety of ways domain and range can be represented using INTERVAL Notation. paste activity. Flashcards. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. Match. In interval notation the domain of this function is {eq}x\in (-\infty, -2) \bigcup\nolimits (-2, \infty) {/eq}. Use positive infinity (+) to mean that the solution set is unbounded to the right of the number line.Answer: (-2, +), Solution: Use an open dot at 9 and shade all real numbers less than 9. Benefits of card sorts: Hands on engagement Multiple entry pointsQuickly identify misconceptions Discuss similarities, differencesSelf-assessmentSomething different, funIn this activity, students will match 12 graphs (10 continuous graphs 2 discrete) with the corresponding, .This activity is great for algebra 1 students to supplement an, helps students make the leap from a number line to, . a. Find the domain and range of relations from mapping diagrams, from finite and infinite graphs and more. WebExpert Answer. WebFor the following exercises, write the domain and range of each function using interval notation. . There are two solutions to the quadratic equation, 5 and 3. Do you have questions about preparing for these exams or how to get started? This quantity, \(\vert z6 \vert\) will always be either 0 or a positive number, for any values of z. . WebDomain and Range Calculator Step 1: Enter the formula for which you want to calculate the domain and range. For example, find the range of 3x 2 + 6x -2. Domain: Range: 2. Note that 1 and 5 are not included in the sample interval, as signified by the use of parentheses (). The domain and range of the function are usually expressed in interval notation. WebDomain and Range of a Graph Notes, Homework, and Quiz Bundle with inequality, interval, and set builder notation This will stop all confusion of Domain and Range Notation!!! This y-value denotes the edge of your range for the function. First, use a closed dot at 4 and shade all real numbers including 4 and above. Already we know the range of sin (x). The general form of this equation would be x ay 2 by c the graph starts at x 5 and moves infinitely along the positive x axis for any value of y chosen. First, find what makes the expression z6 equal to zero, which is the number 6. For example, consider the function: This is the same as our function above, except that it is not defined over the interval (0, 1). Write the Range | Function Rule - Level 2. Write the Domain and Range | Infinite Graph. With any rational function (a quotient of polynomials), be aware of division by 0. Observe the extent of the graph horizontally for the domain and the vertical extent of the graph for range and write the smallest and largest values of both in this set of identifying the domain and range from finite graphs worksheets. (a) The function sin1 has domain and range . Then find the inverse function and list its domain and range. a. Domain and Range Interval Notation DRAFT. Division by zero is undefined. The domain of the function \(g(t) = \sqrt{6 + t t^2}\) is \([2, 3]\). non-function, along with piece-wise functions. 9th grade . 88 0 obj <>stream 0. Hope this helps. Pay attention to the square root part of this function. Write the interval notation. A square bracket indicates inclusion in the set, and a parenthesis indicates exclusion from the set. Sometimes the range feels quite lengthy, however, which is why I'm asking this question. Plug the x-coordinate into the function to calculate the corresponding y-value of the vertex. Then its range is y0 (or) in interval notation, (-, 0) U (0, ). This download includes both a printable, digital version of the activity. Students how to finding aforementioned domain the range of adenine function along using of examples and graphs. Not onl, This set of task cards provide students with practice identifying the, of a continuous function, given a graph.Option 1: This set of 32 task cards provides students with practice finding the. For example, -3x2, [-3,2], and {x|-3x2} all mean that x is between -3 and 2 and could be either endpoint. For example, find the range of 3x 2 + 6x -2. Interval notation symbols. WebIntroducing intervals, which are bounded sets of numbers and are very useful when describing domain and range. This y-value denotes the edge of your range for the function. Edit. If the graph has a minimum value, then its y-values (Range) stretch from that number, up to . [-1, 1] or -1 x 1. WebWe can write the domain and range in interval notation, which uses values within brackets or parentheses to describe a set of numbers. WebAnother way to identify the domain and range of functions is by using graphs. we can write the domain of the above function in set notation as: "such that" - symbol is followed by a constraint, Indicates that an element is a member of some set. \(\begin{aligned} j(x) &= \vert z 6 \vert 3 &&\text{ Original function } \\ j(x) &= \vert 6 6 \vert 3 && \text{Replace z with 6 } \\j(x) &= \vert 0 \vert 3 && \text{Simplify } \\ j(x) &= 3 && j(x) \text{ is } 3 \end{aligned}\), Therefore, the range of the function \(j(x) = \vert z 6 \vert 3\) is 3 or higher, or as written in interval notation, is: \(R:[-3, \infty)\). Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x x -axis. In this example, the range is {y -2}, since -2 is the lowest y-value and the arrow indicates the Save. Flashcards. We know that. WebList the domain and range in interval notation. Flashcards. Substitute the input values or values of the domain in the given quadratic, polynomial, reciprocal or square root functions and determine the output values or range in this section of Level 2 exercises. Complete Chart for Domain and Range Notation 2. Match. Some types of functions are more difficult to work with. WebThen we get, x-3 = 2/y and from this, x = (2/y) + 3. At my school we are going over rational functions and discontinuities, and we often are asked to find the domain/range of a function. Lets learn how to write and graph interval notation. Domain and range of a parabola interval notation. The domain of a function, D D, is most commonly defined as the set of values for which a function is defined. Domain and Range Interval Notation. This is a self-checking activity, as each correct answer reveals more of the picture. Calculate the y-value of the vertex of the function. View the full answer. My students find the chart invaluable especially the Vertical Graph depictions. The range is the set of possible output values, which are shown on the y y -axis. Here are some examples of inequalities. The range is the set of possible output values, which are shown on the y-axis. WebDomain and Range using Interval Notation - YouTube Domain and Range using Interval Notation MaestasMath 3.12K subscribers Subscribe 841 163K views 9 years ago Pre A range of. 2 Note Guides, Domino Practice Game, Domain and Range using Interval Notation Bundle, 8th Grade Math Task Cards and Bingo Bundle, Algebra 2 Digital MEGA Bundle plus Printables. WebThe inverse sine, inverse cosine, and inverse tangent functions have the following domains and ranges. There are two values that will make the radicand of this square root function zero, 3 and 2. The endpoint values are listed between brackets or parentheses. WebFigure 2. scavenger hunt activity. Interval notation, which uses values enclosed in brackets to describe a set of numbers, can be used to express the domain and range. Web1.2 Domain and Range - Precalculus | OpenStax Uh-oh, there's been a glitch We're not quite sure what went wrong. WebThis hands-on activity contains 35 different problems targeting a variety of ways domain and range can be represented using INTERVAL Notation. Match. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. Learn. WebDomain and Range Card Sort - Interval Notation Activity Builder by Desmos. A second version is provided in which students must come up with the, Using the 8 given graphs, students will choose from the, union symbols are used. parentheses are like strict inequalities. Mathematics. The union symbol can be read as "or" and it Students must have prior knowledge of the definitions of, should be comfortable with "all real numbers such that", for graphed number lines. A notation for representing an interval as a pair of numbers. Any non-negative value chosen for x will result in a non-negative value for \(g(x)\). Like interval notation, there are a number of symbols used in set notation, the most common of which are shown in the table below: Standard inequality symbols such as , , and so on are also used in set notation. Conic Sections: Parabola and Focus Plug the x-coordinate into the function to calculate the corresponding y-value of the vertex. A notation for representing an interval as a pair of numbers. This can be represented in the form of a number line as follows: Its Range would be [ 4,). Set the denominator polynomial equal to 0 and solve. Copyright 2023 - Math Worksheets 4 Kids. WebAnother way to identify the domain and range of functions is by using graphs. Its Range would be [ 4,). WebStep 4: Determine the domain by looking at the graph from left to right, writing any {eq}x {/eq}-values included in the graph in interval notation. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. Because the function \(f(x) = 5x + 3\) is a polynomial of degree 1, it is a straight line (without any breaks or holes). Domain and Range Interval Notation. WebThe corresponding Interval Notation is [3 , ) Notice that the 3 is included in the Range so we use bracket [ in the Interval Notation. The graphs include linear, quadratic, circles, polynomials, points, a step function, a sine wave. This resource also includes graphs that are piecewise. WebThe corresponding Interval Notation is [3 , ) Notice that the 3 is included in the Range so we use bracket [ in the Interval Notation. The range is the set {3, 2, 5, 6}. WebDomain and Range of a Graph Notes, Homework, and Quiz Bundle with inequality, interval, and set builder notation This will stop all confusion of Domain and Range Notation!!! A square bracket is used in interval notation to denote that the endpoint is included in the set while a parenthesis is used to denote that the endpoint is either not included or that the interval is unbounded. ' Calculate x-coordinate of vertex: x = -b/2a = -6/ (2*3) = -1. WebIn this example, the domain is {x 0}, since 0 is the lowest x-value and the arrow indicates the line continues to the right.The boundary number of 0 is included, since the dot is solid. If \(x < 2\), for example, 4, \(g(4) = \sqrt{6 + (4) (4)^2}\) is negative, which is not allowed for the radicand. How to Find Domain and Range of an Equation? A square bracket is used in interval notation to denote that the endpoint is included in the set while a parenthesis is used to denote that the endpoint is either not included or that the interval is unbounded. WebDomain refers to input values the range refers to output values generated by the duty.
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