2. Functions

Piecewise Functions — Quiz

Test your understanding of piecewise functions with 5 practice questions.

Practice Questions

Question 1

What is a piecewise function?

Question 2

For the function $f(x)=\begin{cases}x+2 & \text{if } x<0\\ x^2 & \text{if } x\ge 0\end{cases}$, what is $f(-3)$?

Question 3

For the function $f(x)=\begin{cases}2x & \text{if } x\le 1\\ 3 & \text{if } x>1\end{cases}$, what is $f(1)$?

Question 4

Which statement best describes the graph of a piecewise function?

Question 5

In a piecewise function, why are boundary points like $x=2$ important?