Question

I need an explaintion for this.

Answer 1

1

Explanation:

To find the average rate of change, you have to use this formula:

`ROC=(f(b)-f(a))/(b-a)`, when a and b are the x and y coordinates of the problem.

To find f(b) and f(a), you have to insert -2 and 1 for f(x) because a = -2 and b=1. (So you would do f(1)=1 and f(-2)=-2). Doing this will give you 1 and -2 when f(b) is 1 and f(a) is -2.

So because we have the f(b) and f(a), we can insert this in the formula.

`ROC=(f(b)-f(a))/(b-a)\\\\ROC= (1--2)/(1--2)\\\\ROC= (1+2)/(1+2)\\\\ROC= (3)/(3)\\\\ROC= 1`

So that is how the original problem's answer is 1.

I hope this helped!

(Also I would LOVE to get brainilest, I'm trying to get to the expert status)