Question

PLEASE HELP WITH PRE CALC

Answer 1

-3/2

Explanation:

The average rate of change is synonymous to the slope.

So, to find the average rate of change from the interval x=-2 to x=2, first find the y-values at x=-2 and x=2.

At x=-2, we can see that y is 4. Thus, we have (-2,4).

At x=2, we can see that y is -2. Thus, we have (2,-2).

Now, use the slope formula. The formula for slope is:

`m=(y_2-y_1)/(x_2-x_1)`

Let (-2,4) be x₁ and y₁ and let (2,-2) be x₂ and y₂. Therefore:

`m=(-2-4)/(2--2)`

Simplify:

`m=(-6)/(4)`

Reduce:

`m=-3/2`

So, our average rate of change from the interval x=-2 to x=2 is -3/2.