The average rate of change of the function f(x) = x² + 2x + 1 over the interval is 1
Finding the average rate of change
From the question, we have the following parameters that can be used in our computation:
f(x) = x² + 2x + 1
The interval is given as
From x = -2 to x = 1
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(-2) = (-2)² + 2(-2) + 1 = 1
f(1) = (1)² + 2(1) + 1 = 4
Next, we have
Rate = (4 - 1)/(1 + 2)
Evaluate
Rate = 1
Hence, the rate is 1
Question
find the rate of change from {-2,1} for f(x) = x² + 2x + 1