Question

The table shows values for a quadratic function what is the average rate of change for this function for the interval from x=1 to x=3

Answer 1

16

Answer: (Provided above for some people. You’re welcome, Free Trail People.)

Explanation:

I’m sure y’all know how to do rate of change. Grab the two points, substract them, ( y2 - y1 / x2 - x1) <- Just plug this formula in and work from there.

You’ll get a fraction, and just simplify it. Ya get 16.

(For those who are confused as to what Rate of Change is, it’s literally just another word for Slope.)

Answer 2

Answer: Option A

Explanation:

The average rage of change of the function is the slope.

The slope can be calculated with the formula shown below:

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

The problem asks for the average rate of change for the given function , for the interval shown below:

From x=1 to x=3,

Therefore, based on the table, when:

`x=1, y=2`

`x=3, y=18`

Then:

`y_2=18, y_1=2`

`x_1=3, x_2=1`

When you substitute values, you obtain:

`m=(18-2)/(3-1)=8`