Question

What is the average rate of change of f(x) from x = −3 to x = 6? f(x)=x2+4x−15

Answer 1

Answer:
average rate of change = 7

Step-by-step explanation:
The average rate of change =
`(f(b) - f(a))/(b - a)`
where:
b is the upper limit = 6
a is the lower limit = -3
f(b) = f(6) = (6)² + 4(6) - 15 = 45
f(a) = f(-3) = (-3)² + 4(-3) - 15 = -18

Substitute with these values in the above equation to get the average rate of change as follows:
average rate of change =
`(45-(-18))/(6-(-3))` = 7

Hope this helps :)