2. Polynomials and Rational

Asymptotes And Behavior — Quiz

Test your understanding of asymptotes and behavior with 5 practice questions.

Practice Questions

Question 1

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

Question 2

For the function $f(x) = \frac{3x^3 + 5}{x^2 + 1}$, what is the end behavior as $x$ approaches infinity?

Question 3

What type of asymptote does the function $f(x) = \frac{x^2 - 1}{x - 1}$ have?

Question 4

Which of the following functions has a horizontal asymptote at $y = 1$?

Question 5

What is the vertical asymptote of the function $f(x) = \frac{1}{x - 4}$?