1. Functions and Modeling

Rational Functions — Quiz

Test your understanding of rational functions with 5 practice questions.

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Practice Questions

Question 1

Which of the following is the correct definition of a vertical asymptote for a rational function $f(x) = \frac{p(x)}{q(x)}$?

Question 2

For the rational function $f(x) = \frac{2x^2 - 8}{x^2 - 4}$, which of the following is a hole in the graph?

Question 3

What is the horizontal asymptote of the rational function $f(x) = \frac{3x^2 + 5x - 4}{6x^2 - x + 7}$?

Question 4

If $f(x) = \frac{x^2 - 9}{x - 3}$, what is the behavior of the function at $x = 3$?

Question 5

Which of the following best describes the end behavior of the function $f(x) = \frac{4x^3 - x + 2}{2x^3 + 5x - 1}$?