Domain And Range Of Rational Functions Worksheet With Answers Domain and Range of Rational Functions The domain of a function f x is all of the x values for which the function is defined and the range is the set of all values that f takes We ve worked with both of these terms before but it s time to expand them to all rational functions
Nov 21 2019 0183 32 The Corbettmaths Practice Questions on Domains and Ranges for Level 2 Further Maths These Algebra 1 Domain and Range Worksheets will produce problems for finding the domain and range of sets of ordered pairs You can select the range of numbers used in ordered pairs as well as whether the sheet should ask if each set of pairs is a function or not
Domain And Range Of Rational Functions Worksheet With Answers
Domain And Range Of Rational Functions Worksheet With Answers
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Worksheet Analyze each function and predict the location of any VERTICAL asymptotes HORIZONTAL asymptotes HOLES points of discontinuity x and y INTERCEPTS DOMAIN and RANGE Match the equation of each rational function with the most appropriate graph Explain your reasoning
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Domain And Range Of Rational Functions Worksheet With Answers
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Domain x R x 2 2 x means the positive square root so y is never negative Range y R y 0 4 Answer p x 1 x 2 The given function is a rational function To find the domain of a rational function we have to find the value of x that makes the denominator zero
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1 2 c 4 State the domain and range Represent as a table and graph Then state if it is a function 5 4 4 1 2 1 0 4 1 3 Domain Range Is this relation a function b 3 4 1 2 0 0 3 5 2 4 Domain Range
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In this lesson we will learn how to find the domain and range of a rational function either from its graph or its defining rule
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Graphing Simple Rational Functions Date Period Identify the vertical asymptotes horizontal asymptote domain and range of each 1 f x 4 x Vertical Asym x 0 Horz Asym y 0 Domain All reals except 0 Range All reals except 0 2 f x 4 x 1 1 Vertical Asym x 1 Horz Asym y 1 Domain All reals except 1
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Find the horizontal asymptote of a rational function if it exists Find the oblique asymptote of a rational function if it exists Find the domain of a rational function Find the x intercepts of a rational function Find the y intercept of a rational function Graph a rational function Math Standards Addressed
Created by T Madas Question 23 A function fis defined by f x x x x x lt 24 1 0 a By completing the square or otherwise find an expression forf x 1 b Sketch in the same diagram the graphs of f x and f x 1 c Find the domain and range of f x 1 f x x 1 2 5 x gt 1 f x 1 lt 0 Graphing Rational Functions Date Period Identify the points of discontinuity holes vertical asymptotes x intercepts and horizontal asymptote of each
A rational function is a fraction of polynomials Asymptotes play an important role in graphing rational functions Learn how to find the domain and range of rational function and graphing it along with examples