Question

This table shows values that represent a quadratic function. What is the average rate of change for this quadratic function for the interval from x=3 to x=5 A. -16B. 8C. 16D. -8

Answer 1

The average rate of change is the slope between the given two points.

The formula of slope is :

`\text{slope}=(y_2-y_1)/(x_2-x_1)`

So from x = 3 to x = 5

The points are :

`(3,-10)\rightarrow(x_1,y_1)`

and

`(5,-26)\rightarrow(x_2,y_2)`

Using the formula above :

The slope will be :

`\text{slope}=(-26-(-10))/(5-3)=(-16)/(2)=-8`

So the answer is D. -8