Question

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

A) −1
B) −2
C) −3
D) −4

Answer 1

-1

Explanation:

i just got it wrong

Answer 2

ANSWER

A) -1

EXPLANATION

The average rate of change of the given quadratic function on the interval 0 ≤ x ≤4 is the slope of the secant line connecting the points (0,f(0)) and (4,f(4)).

That is the average rate of change is:


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

From the graph, f(0) is 0 and f(4) is -4.

We plug in these values to obtain;


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

This simplifies to;


`= ( - 4)/(4)`


`= - 1`

Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1