Question

The table below shows the linear function f.

x: -6,-5,-4,-3,-2
f(x): 22,19,16,13,10
Determine the average rate of change of the given function over an interval [-5, -2].
A. -1/3
b.1/3
c.-3
D.3

Answer 1

C. -3

Explanation:

Answer 2

The correct choice is C.

Explanation:

The average rate of change of the given function over the interval [-5,-2] is the slope of the secant line connecting;

`(-5,f(-5))`

and

`(-2,f(-2))`

This implies that the average rate of change over [-5,-2]

`=(f(-2)-f(-5))/(-2--5)`

From the table; f(-2)=10 and f(-5)=19

We substitute and simplify to obtain;

Average rate of change

`=(10-19)/(-2+5)`

`=(-9)/(3)`

`=-3`