Question

What is the average rate of change from 0 to 2 of the function represented by the graph

Answer 1

Average rate of change of function = -0.5

Explanation:

We have given a graph of function.

We have to calculate the rate of change of given function from 0 to 2.

The formula to calculate the rate of change of a function is:

Average rate of change of function = f(b)-f(a) / b-a

Let b = 2 and a = 0

From graph, we observed that

f(2) = f(b) = 1 and f(0) = f(a) = 2

Putting above values in formula, we have

Average rate of change of function = 1- 2/ 2-0

Average rate of change of function = -1/2

Average rate of change of function = -0.5

Negative sign shows that given function is decreasing.

Answer 2

-0.5

Explanation:

Average rate of a function f(x) in the interval a to b is given by

Average rate of change =
`(f(b)-f(a))/(b-a)`

Here we are given a graph. From the graph we find out f value at end points

a=0: f(0) = 2: b=2:f(2) = 1

Substitute in the average rate of change formula to get

f(2)-f(0) =1-2 =-1

b-a = 2

Hence average rate of change = -1/2

=-0.5

(Negative value indicates the change is decrease. i.e. when x increases f decreases)