Rational Functions Test SOLUTIONS
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Interlake Senior High School**We aren't endorsed by this school
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MATH ALGERBRA
Subject
Mathematics
Date
Dec 22, 2024
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3
Uploaded by PrivateViperMaster1185
IB Analysis and Approaches HL2Chapter 6DRational Functions Test Questions (SOLUTIONS)1.Given the graph below, determine the equation of the rational function. (4 points)
2.A rational function of the form y=x+2+rx+acan be found that has a vertical asymptote atx=−5. Use 2.2 as √5and 3.6 as √13. (10 points)a)Find the complete function in terms of xand r.b)On the graph, sketch the function ywhen r=1and when r=−1, marking the axis intercepts and any other points necessary to accurately construct the graph.
3.Given the rational function y=−4x2−8x−4x+2(11 points):a)Find the rational function in the form y=px+q+rx+2.b)Using the graph of question 2, how might the graph with rof the opposite sign differ from the graph of this function?c)Find the vertical asymptote, oblique asymptote, and axis intercepts of the function.d)Draw a sign diagram of the function.e)Graph the function.