emmielarson emmielarson
  • 23-04-2020
  • Mathematics
contestada

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

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 01-05-2020

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

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