Answer:
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
