2. Functions

Piecewise Functions — Quiz

Test your understanding of piecewise functions with 5 practice questions.

Practice Questions

Question 1

Let $f(x)=\begin{cases}2x+1,& x<0\\ x^2,& x\ge 0\end{cases}$. What is $f(-3)$?

Question 2

Let $g(x)=\begin{cases}5,& x\le 2\\ 2x-1,& x>2\end{cases}$. What is $g(2)$?

Question 3

In the function $h(x)=\begin{cases}x+4,& x<1\\ x^2-4,& 1\le x\le 3\\ 7,& x>3\end{cases}$, which interval uses the rule $x^2-4$?

Question 4

Let $p(x)=\begin{cases}3x,& x<2\\ 10-x,& x\ge 2\end{cases}$. What is $p(2)$?

Question 5

Which statement is true about the function $q(x)=\begin{cases}x+2,& x<1\\ 3x,& x\ge 1\end{cases}$ at $x=1$?