1. Polynomial and Rational Functions

Rational Functions And Holes — Quiz

Test your understanding of rational functions and holes with 5 practice questions.

Practice Questions

Question 1

What is the domain of the rational function $f(x)=\frac{x+2}{x-5}$?

Question 2

For the function $f(x)=\frac{(x-3)(x+1)}{x-3}$, what hole does the graph have?

Question 3

Which rational function has a removable discontinuity, or hole?

Question 4

What is the value of $f(1)$ for $f(x)=\frac{x^2-1}{x-1}$?

Question 5

After simplifying $f(x)=\frac{x^2-9}{x-3}$, what expression describes the function for all allowed $x$?