Since h(p) is a rational function, the bottom can not equal zero. Examples: Consider EMBED Equation.3 . ĞÏࡱá > şÿ " $ şÿÿÿ ! t u © ª « ¬ ú ø ó ó ó ó ë ë ë ó ó ó ó ó ë ë ë ó ó ó ë ë ó ó ó ó ó $ Finding Domain, Range, Relative Max/Min, Intervals of Increasing/Decreasing of Graphs. Do NOT cross multiply!!!! Domain: _____ Also state the coordinates of the zeros of the function. Domain and Range Name: _____ State the domain and range for each graph and then tell if the graph is a function (write yes or no). The backslash \ is read as "except". Why? Use correct set notation. EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 Range practice: Use your calculator to graph and determine the ranges of the functions numbered 1-5. Set the expression under the radical greater than or equal to zero and solve for the variable. It's a parabola. Ranges: R. 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When finding the domain of a function, ask yourself what values can't be used. Confirm by graphing: you will see that the graph "lives" to the left of 2/3 on the horizontal axis. &. Rational functions can not have zeros in the denominator. { v | v ( -4 or v ( 2 }. Whatever method you use, be consistent and correct. Domains and Ranges are sets. Domain Practice: Algebraically determine the following domains. 1) Domain 2) Domain 3) Domain Your domain is everything else. For the third term that has the radical, y ( 0. 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 … ��ࡱ� > �� � � ���� � � ���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� � �� u bjbjW�W� /1 5� 5� u �� �� �� � � � V V V V V ���� j j j j. Factor it and plot the points -4 and 2 (this is where the expression = 0, which is okay). Domain and Range Worksheet #1 Name: _____ State the domain and range for each graph and then tell if the graph is a function (write yes or no). There are simple basic rules to consider: The domain of all polynomial functions is the Real numbers R. Square root functions can not contain a negative underneath the radical. Use a sign chart to determine when the expression is greater than zero. { u(x) | R except u(x) = 1/2 }. This is a horizontal asymptote (Section 2.4). of the function is the set of permissible inputs and the . Determine where the top = 0 (top = 0 at t = 0) and where bottom = 0 (bottom = 0 at t = -1). is the set of resulting outputs. { g(k) | g(k) ( -8 }. Answers: R, since the function is a polynomial (line). { t | t < -1 or t ( 0 }. The only set of numbers for which all four terms are defined is y > 0. If the graph is a function, state whether it is discrete, continuous or neither. 1) Discrete or Cont? Worksheet # Skills Worksheets to be completed Grade on worksheet out of 10 1 Functions vs. Relations 2 Evaluating Functions 3 Domain and Range 4 Equations of Transformed Functions 5 Applying Transformations 6 Interpreting Graphs 7 Applying Matrix Operations 8 Systems of Equations 9 Matrices Extensions Average: _____ Domain. 5 d(y) = y + 3 g(k) = 2k2 + 4k - 6 b(n) = EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 Answers at end. Tell if it is a function. It can also be written { -( < x < ( }. { x | x > -3 }. Section 3.8-3.10. Domain and Range Worksheet. For h(p), the domain could be written any of the following ways: EMBED Equation.3 or {R\{-2,2}}. Set the expression EMBED Equation.3 . If the graph is a function, state whether it is discrete, continuous or neither. If the graph is a function, state whether it is discrete, continuous or neither. Determine which values of the input cause the denominator to equal zero, and set your domain to be everything else. Notice that it's okay for t = 0 but not okay for t = -1. - . j ³ğCJ j CJ EHäÿUj�„3> R, since the function is a polynomial (parabola). If the graph is a function, state whether it is discrete, continuous or neither. But in the fourth term, y ( 0, so we have to exclude the 0. 4 Use a sign chart to determine when the expression is 0 or greater. Domain and Range Worksheet #1 Name: _____ State the domain and range for each graph and then tell if the graph is a function (write yes or no). 1 2 3 4 ; A { € ! " Graph it and you'll see the graph level off horizontally along the line u(x) = 1/2. Find the vertex. { m(t) | m(t) ( 0 }. Given a function y = f(x), the . Domains can be found algebraically; ranges are often found algebraically and graphically.