Question

the graph of a function is shown on the coordinate plane below. identify the rate of change of the function.

Explanation:

Step1: Pick two clear points

Choose points $(-2, 0)$ and $(0, -2)$ from the line.

Step2: Apply rate of change formula

Rate of change = $\frac{y_2 - y_1}{x_2 - x_1}$, substitute the points:
$\frac{-2 - 0}{0 - (-2)} = \frac{-2}{2}$

Step3: Simplify the expression

$\frac{-2}{2} = -1$

Answer:

$-1$