Question

Use the graph for this question:

Answer 1

Answer:

Average rate of change =2

Step-by-step explanation:

We need to find about what is the average rate of change from x = 2 to x = 3.

So first we need to find the y-values of given x-values.

when x=2, then graph passes through y=-3

when x=3, then graph passes through y=-1

Now plug these values into average rate of change formula:

Average rate of change $=\frac{y_2-y_1}{x_2-x_1}$

Average rate of change $=\frac{-1-\left(-3\right)}{3-2}$

Average rate of change $=\frac{2}{1}$

Average rate of change =2

Hence final answer is 2.

Answer 2

You basically need to find the slope of (2,-3) and (3,-1). Where x is 2, y is -3 and were x is 3, y is -1.
Slope is y2-y1/x2-x1
2 is your slope. So, the average rate of change from x=2 and x=3 is 2.
Hope I helped!