Chapter 3 Test

1.   Give the equations of any​ vertical, horizontal, or oblique asymptotes for the graph of the rational function.

$f\left(x\right)=\frac{x^2–2x–3}{2x^2–x–10}$

Select the correct choice below and fill in any answer boxes within your choice.

1. The vertical asymptotes are x =  (Use a comma to separate answers as​ needed.)
2. There is no vertical asymptote.

Select the correct choice below and fill in any answer boxes within your choice.

1. The horizontal asymptote is y= ________  (Use a comma to separate answers as​ needed.)
2. There is no horizontal asymptote.

Select the correct choice below and fill in any answer boxes within your choice.

1. The oblique asymptote is y= _________
2. There is no oblique asymptote.

2.   For the polynomial​ function, ​(a) list all possible rational​ zeros, ​(b) find all rational​ zeros, and (c) factor f(x).

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3.  Graph the rational function. 

Choose the correct graph

4.   Identify any​ vertical, horizontal, or oblique asymptotes in the graph of y=​f(x).  State the domain of f.

Identify the equations of any vertical asymptotes. Select the correct choice below and fill in any answer boxes within your choice.

1. x= _______  (Simplify your answer. Use a comma to separate answers as​ needed.)
2. There is no vertical asymptote.

Identify the equations of any horizontal asymptotes. Select the correct choice below and fill in any answer boxes within your choice.

1. y= _______ ​(Simplify your answer. Use a comma to separate answers as​ needed.)
2. There is no horizontal asymptote.

Identify the equations of any oblique asymptotes. Select the correct choice below and fill in any answer boxes within your choice.

1. Y= ___________
2. There is no oblique asymptote.

5.