What is the average rate of change of the function f(x) = 2x2 + x + 5 over the interval −2 ≤ x ≤ 2?

16

Step-by-step explanation:

Given the function f(x) = 2x² + x + 5, the rate of change of the function is given as d{f(x)}/dx= 4x+1

Expressing the rate of change over an interval −2 ≤ x ≤ 2:

When x = -2

d{f(x)}/dx = 4(-2)+1

d{f(x)}/dx = -8+1

d{f(x)}/dx = -7

When x = 2

d{f(x)}/dx = 4(2)+1

d{f(x)}/dx = 8+1

d{f(x)}/dx = 9

Average rate of change = 9-(-7)

Average rate of change = 16

2/4 is the answer

step-by-step explanation:

x= total pieces

both ate 9 pieces

mindy ate 3 so troy ate 6

6= (1/4)x

x =24