1. Pure Algebra

Function Theory — Quiz

Test your understanding of function theory with 5 practice questions.

Practice Questions

Question 1

Given the function $f(x) = x^2 + 2x + 1$, what is the range of $f(x)$?

Question 2

If the graph of $y = f(x)$ is stretched horizontally by a factor of 3, what is the equation of the transformed graph?

Question 3

Given the function $f(x) = \frac{1}{x - 5}$, what is its domain?

Question 4

If $f(x) = \sqrt{x}$ and $g(x) = x + 2$, what is the composite function $(f \circ g)(x)$?

Question 5

What is the inverse of the function $f(x) = \frac{x}{2} + 3$?