algebra 2 problem

Question

I don't know what I am doing in this situation I have to find the average rate of change of f(x) = x^2 +2

 

a. = from-1 to 1
b. = from 3 to 6

 

okay, I tried the solution and I am still lost, I dislike this course could I get some assistance please!!

Answer 1

I'll show you how to do a similar problem by finding the average rate of change of f(x) = x^2 + 2 from 3 to 5.  

 

The average rate of change is defined as

 

[Change in f(x)] / [Change in x] = [f(5) - f(3)] / [5 - 3] = (27 - 11) / 2 = 8  

 

Now see if you can follow these steps for the numbers in your problem.