Answer:
The average rate of change is 8.
Step-by-step explanation:
We are given the equation:
[tex]y=x^2+2x-5[/tex]
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:
[tex]y(2)=(2)^2+2(2)-5=3[/tex]
And:
[tex]y(4)=(4)^2+2(4)-5=19[/tex]
So, the average rate of change between them is:
[tex]\displaystyle m=\frac{19-3}{4-2}=\frac{16}{2}=8[/tex]
