Question

What is the average rate of change for this quadratic function for the interval from x=3 to x=4

Answer 1

ANSWER

A. 27.5

EXPLANATION

The average rate of change of the given quadratic function on the interval;

x=2 to x=4 is the slope of the secant line connecting the points (2,f(2)) and (4,f(4)).

This implies that the average rate of change is

$= \frac{f(4) - f(2)}{4 - 2}$

From the table,

$f(4) = 64$

and

f(2)=9.

The average rate of change becomes

$= \frac{64 - 9} {4 - 2}$

$= \frac{55}{2} = 27.5$

The correct choice is A.

Answer 2

Yea the correct answer is a