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

average rate of change = 7

Explanation:
The average rate of change = 
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 =  = 7

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