3. Rational Functions

Asymptotes — Quiz

Test your understanding of asymptotes with 5 practice questions.

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Practice Questions

Question 1

For the function $f(x)=\frac{x^3-3x^2+2x+5}{x^2-1}$, what are the vertical asymptotes and the oblique asymptote?

Question 2

Determine the quadratic asymptote of $f(x)=\frac{3x^4-2x+1}{x^2+1}$.

Question 3

Identify the removable discontinuity and vertical asymptote of $f(x)=\frac{x^2-4}{x^2-3x+2}$.

Question 4

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

Question 5

For the function $f(x)=\frac{x^2+2x-3}{x^2-4}$, what is its domain restriction and its horizontal asymptote?
Asymptotes Quiz — High School Pre-calculus | A-Warded