3. Rational and Radical Functions

Rational Functions — Quiz

Test your understanding of rational functions with 5 practice questions.

Practice Questions

Question 1

For the rational function $f(x) = \frac{x^2 - 1}{x - 1}$, what type of discontinuity exists at $x = 1$?

Question 2

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

Question 3

Identify the horizontal asymptote of the rational function $f(x) = \frac{4x^3 + 2}{2x^3 + 5}$.

Question 4

Consider the rational function $f(x) = \frac{x^2 - 4}{x^2 - 1}$. What is the equation of the horizontal asymptote?

Question 5

What is the behavior of the rational function $f(x) = \frac{1}{x-3}$ as $x$ approaches 3 from the left side ($x \to 3^-$)?