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4.3 Different Forms of Rational Functions  Homework Exercises

 

For each of the functions represented below,

a)     Determine the horizontal and vertical asymptotes of the graph;

b)    Combine terms and express the function as a ratio of polynomials.  Be sure to expand all binomials in the numerator and combine like terms.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Name the horizontal asymptote of each of the following rational functions.  Then find the x-intercept and the y-intercept.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

For each of the functions represented below, separate the function into two terms such that the second term is a constant.  Then name the vertical and horizontal asymptotes.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ANSWERS TO ODD NUMBERED PROBLEMS

 

 

 

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