Question

Which is the best estimate of the avarge rate of change for the quadratic function on the interval 0 ≤ x ≤ 4

Answer 1

A) -1

Explanation:

The missing graph is attached.

The possible answers were:

-1

-2

-3

-4

The average rate of change of a function f(x) on a≤x≤b is given by:

`(f(b) - f(a))/(b - a)`

We want to find the best estimate of the average rate of change for the quadratic function on the interval 0 ≤ x ≤ 4.

From the graph, f(0)=0 and f(4)=-4

`(f(4) - f(0))/(4 - 0) = ( - 4 - 0)/(4 - 0) = ( - 4)/(4) = - 1`