Question

Given this equation y = x2 + 2x -5 , Find the average rate of change over the interval 2 ≤ x ≤ 4 ?

Answer 1

Answer:

The average rate of change is 8.

Step-by-step explanation:

We are given the equation:

$y=x^2+2x-5$

And we want to find the average rate of change on the interval [2, 4].

When finding the average rate of change, we essentially find the endpoints and then find the slope between them.

So, the endpoints are:

$y(2)=(2)^2+2(2)-5=3$

And:

$y(4)=(4)^2+2(4)-5=19$

So, the average rate of change between them is:

$\displaystyle m=\frac{19-3}{4-2}=\frac{16}{2}=8$