Question

1. the graph of an absolute value function is shown. identify the domain and range.

Explanation:

Step1: Identify domain from graph

The graph extends horizontally from $x=-5$ to $x=5$, with no breaks, so all $x$-values in this interval are included.
Domain: $-5 \leq x \leq 5$

Step2: Identify range from graph

The lowest $y$-value is $2$ (the vertex), and the graph extends upward to $y=8$, so all $y$-values from $2$ to $8$ are included.
Range: $2 \leq y \leq 8$

Answer:

Domain: $\boldsymbol{-5 \leq x \leq 5}$
Range: $\boldsymbol{2 \leq y \leq 8}$