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

Answer: Option A

Step-by-step explanation:

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

The slope can be calculated with the formula shown below:

$m=\frac{y_2-y_1}{x_2-x_1}$

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:

$m=\frac{18-2}{3-1}=8$

Answer 2

Answer:

correct answer is 8

Step-by-step explanation: