which is the rate of change for the interval between 3 and 6 on the x - axis?\n-3\n-2\n2\n3

Answer:

C. 2

Explanation:

Step1: Identify the formula for rate of change

The rate - of - change formula is $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Find the y - values for x = 3 and x = 6

From the graph, when $x_1 = 3$, $y_1=-2$; when $x_2 = 6$, $y_2 = 4$.

Step3: Calculate the rate of change

$\frac{y_2 - y_1}{x_2 - x_1}=\frac{4-(-2)}{6 - 3}=\frac{4 + 2}{3}=\frac{6}{3}=2$.