Question

What is the average rate of change of the function f(x) = 2x2 + x + 5 over the interval −2 ≤ x ≤ 2?
A. −4 B. −1 C. 1 D. 4

Answer 1

Answer:

d

Step-by-step explanation:

Answer 2

The average rate of change the function f(x) = 2x² + x + 5 is 1.

So, Option C is correct.

The average rate of change

The average rate of change in a function is the rate at which one value changes with respect to another value.

Given function: $f(x)=2x^2+x+5$ on interval $[-2,2]$

Therefore,

Average rate of change = $\frac{f(2)-f(-2)}{2-(-2)}$

$f(2)=2(2)^2+2+5\\f(2)=15\\f(-2)=2(-2)^2-2+5\\f(2)=11$

Substitute the values,

Average rate $=\frac{15-11}{2+2}$

Average rate $=\frac{4}{4}$

Average rate $=1$

So, the average rate of change is $1$

Option C is correct.

Find out more information about the average rate of change here:

brainly.com/question/2530409?referrer=searchResul