Answer: The correct answer to this problem would be C, or 32/3.
Explanation:
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) = 2x² + x + 5 on interval [-2, 2]
Therefore,
Average rate of change = 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 = 5-11/2+2
Average rate = 4/4
Average rate = 1
So, the average rate of change is
Leading me to believe option C is correct.