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

Answer:

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

Step-by-step explanation:

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

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

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.

$m=\frac{f(8)-f(6)}{8-6}$

$m=\frac{4-6}{2}$

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

$m=-1$

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