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.

Question

asked Dec 16, 2019 44.2k views

2 Answers

Khanzor · Answer 1 · 2019-12-21T05:24:20+0000

Answer:

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.