Question

1. use the graph to identify the range of the radical function.

the range is $0,\infty)$.
the range is $r:\\{y\geq4\\}$.
the range is $r:\\{y\leq4\\}$.
the range is $(-\infty,0$

Explanation:

Step1: Define range of a function

Range = all possible $y$-values of the function

Step2: Analyze the graph's $y$-values

The graph has its highest $y$-value at 4 (on the y-axis), and all other points have $y$-values less than or equal to 4, extending downward to negative infinity.

Step3: Match to the option

The set of all $y$ such that $y \leq 4$ matches the third option.

Answer:

The range is $\{y \leq 4\}$ (Option 3: The range is R:$\{y \leq 4\}$)