Question

The graph shows the quadratic function f(x) . What is the average rate of change for the quadratic function from x = 6 to x = 8? Enter your answer in the box.

Answer 1

the rate of change is -1

Answer 2

The average rate of change for the quadratic function from x = 6 to x = 8 is -1.

Explanation:

The average rate of change for the quadratic function from x₁ to x₂ is defined as

`m=(f(x_2)-f(x_1))/(x_2-x_1)`

From the given graph it is clear that the value of function is 6 at x=6 and the value of function is 4 at x=8.

The average rate of change for the quadratic function from x = 6 to x = 8.

`m=(f(8)-f(6))/(8-6)`

`m=(4-6)/(2)`

`m=(-2)/(2)`

`m=-1`

Therefore the average rate of change for the quadratic function from x = 6 to x = 8 is -1.