Question 1

Which of the following graphs represents the piecewise-defined function:

$$ f(x) = \begin{cases} 2x + 3, & x \u003c 0 \ x^2$ + 1, & x \geq 0 \end{cases} $$

Accepted Answer

![Graph 3](https://i.imgur.com/3.png)

Question 2

Which graph shows the solution set for the system of inequalities:

$$ \begin{cases} x - 2y \leq 2 \ x + y \leq 0 \end{cases} $$

Accepted Answer

![Graph 1](https://i.imgur.com/graphA.png)

Question 3

Which of the following graphs represents the function $$ f(x) = -2|x| $$?

Accepted Answer

![Graph 2](https://i.imgur.com/abs2.png)

Question 4

Which graph shows the solution set for the inequality $$ y \leq 2x - x^2$ $$?

Accepted Answer

![Graph 1](https://i.imgur.com/parab1.png)

Question 5

Which graph represents the solution set for the system $$ \begin{cases} y \u003e 2x + 1 \ x^2$ + y^2$ \leq 36 \end{cases} $$?

Accepted Answer

![Graph 2](https://i.imgur.com/circle2.png)

Question 6

Which graph shows the solution set for $$ x - 4 \geq 0 $$?

Accepted Answer

![Graph 2](https://i.imgur.com/ineq2.png)

Question 7

Which graph represents the function $$ f(x) = |x| $$?

Accepted Answer

![Graph 1](https://i.imgur.com/abs5.png)

Question 8

Which graph shows the solution set for $$ -3x - 5y \leq 15 $$?

Accepted Answer

![Graph 3](https://i.imgur.com/ineq7.png)

Question 9

Which graph represents the function $$ f(x) = (x + 3)^2$ + 5 $$?

Accepted Answer

![Graph 2](https://i.imgur.com/parab6.png)

Question 10

Which graph shows the solution set for $$ (x - 4)^2$ + (y + 3)^2$ \leq 4 $$?

Accepted Answer

![Graph 2](https://i.imgur.com/circle6.png)

Piecewise-Defined Functions: Identifying the Rule from a Graph

Study Guide - Practice Questions