evaluating piecewise functions from a graph\nconsider the function given by the graph. what are these…

Explanation:

Step1: Evaluate $f(-2)$ from the graph.

Locate $x = -2$ on the horizontal axis (x-axis). Move vertically up to the graph. The corresponding point on the graph has a y-coordinate of 2. $$f(-2) = 2$$

Step2: Evaluate $f(0)$ from the graph.

Locate $x = 0$ on the horizontal axis (x-axis). There are two points indicated on the graph at $x=0$: an open circle at $(0, 1)$ and a closed circle at $(0, 3)$. The value of the function at a point is given by the closed circle. $$f(0) = 3$$

Step3: Evaluate $f(4)$ from the graph.

Locate $x = 4$ on the horizontal axis (x-axis). Move vertically down to the graph. The corresponding point on the graph has a y-coordinate of 0. $$f(4) = 0$$

Answer:

$f(-2) = 2$ $f(0) = 3$ $f(4) = 0$