Question

The graph shows the function f(x).

Which value is closest to the average rate of change from x = 3 to x = 5?

A. 0.4
B. 0.6
C. 1.5
D. 2.5

Answer 1

C should be the answer hope this helps

Answer 2

Hence, the average rate of change is:

1.5

Explanation:

We have to find the closest value to the average rate of change from x=3 to x=5.

We know that the average rate of change of a function f(x) from x=a to x=b is calculated as:

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

i.e. here we have:

a=3 and b=5

Now,, from the graph of the function f(x) we could observe that:

`f(5)=-1` and
`f(3)=-4`

Hence, the average rate of change from x=3 to x=5 is:

`=((-1)-(-4))/(5-3)\\\\=(3)/(2)\\\\=1.5`

Hence, the average rate of change is:

1.5