The table shows values for a quadratic function. what is the average rate of change for this function for the interval from x=2 to x=4

ANSWER

C. 12

EXPLANATION

The average rate of change of a function ,f(x) from x=a to x=b is given by:

We want to find the average rate of change of the quadratic function represented by the table for the interval from x=2 to x=4.

From the table, we have

and

The average rate of is

Geometrically, the average rate of change represents the slope of the secant line joining the points (4,32) and (2,8) on the given quadratic function.

The correct choice is C.

OPTION C.

Step-by-step explanation:

In order to find the  average rate of change for this function for the given quadratic function, for the interval from to , you can use this formula:

In this case, you can identify that:

Then, substituting values into the formula, you get this result:

This matches with the option C.

good luck!

cutie~