Pre-Calculus Practice Problem 69

Pre-Calculus Practice Problem 69 - y-intercept (if any) by...

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Unit 2, Activity 6, Rational Functions and their Graphs with Answers Blackline Masters, Advanced Math-Pre-Calculus Page 67 Louisiana Comprehensive Curriculum, Revised 2008 PART I For each of the following problems a) Find the domain. Set the denominator equal to zero and solve D(x) = 0. The solutions to that equation are the discontinuities of the function and not in the domain. b) Find all zeros of the function. Set the numerator equal to zero and solve N(x) = 0. If one or more of the solutions are also solutions to D(x) = 0, then that value of x represents the location of a hole in the graph. Solutions that are unique to N(x) = 0 represent the x- intercepts of the graph. Plot those intercepts. c) Identify any vertical and horizontal asymptotes. Draw them on the graph with a dashed line. d) Find the
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Unformatted text preview: y-intercept (if any) by evaluating f (0). Plot that point. e) Find and plot one or two points prior to and beyond each of the vertical asymptotes. e) Graph the function Check your answer graphically using a graphing utility, and numerically, by creating a table of values. 1. 16 12 ) ( 2 2 = x x x f a ) domain = {x:x -4, 4} b) The zeros are at 12 12 , c) The vertical asymptotes are at x = 4 and x = -4 and the horizontal asymptote is y = 1. d) The y-intercept is . The graph : 2. 9 ) ( 2 2 = x x x f a) Domain = {x: x -3, 3} b) There is one zero at x = 0. However, it is a double zero so the graph will be tangent to the x-axis at that point. c) There are two vertical asymptotes, at x = 3 and x = -3. The horizontal asymptote is y = 1. d) The y-intercept is 0....
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This note was uploaded on 10/10/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.

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