Rational Functions Homework SOLUTIONS
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Interlake Senior High School**We aren't endorsed by this school
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MATH ALGERBRA
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Mathematics
Date
Dec 22, 2024
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2
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IB Analysis and Approaches HL2Chapter 6DRational Functions Homework (SOLUTIONS)Complete the problems without the use of a calculator.1.Given the rational function y=xx2+1:a)Find the horizontal asymptote of the function.b)Explain why there is no vertical asymptote.c)Find the axis intercept(s) of the function.d)Find two other points on the graph.e)Sketch the graph of the function, marking theabove features.2.Given the rational function y=x−1(x+3)(x−2):a)Find the equations of the asymptotes.b)Find the axis intercepts.c)Draw a sign diagram of the function.d)Hence discuss the behavior of the function near its asymptotes.3.Given the graph of 3x2+x−2x−1atright:
a)Find the equation of the vertical asymptote.b)Find the axis intercepts.c)Write the function in the form y=px+q+rx−1, and hence find the oblique asymptote.