Question

Question #8b99b

Answer 1

The average rate of change is 0.

Explanation:

Average rate of change is Algebra I slope.

`f(x) = 3sin(pi/2*x)+7`

Average rate of change for this interval is given by:

`(f(6)-f(4))/(6-4)`

We can calculate the values of the function:
`f(6) = 3sin(pi/2*6)+7 = 3sin(3pi)+7 = 3(0)+7=7`

`f(4) = 3sin(pi/2*4)+7 = 3sin(2pi)+7 = 3(0)+7=7`

So average rate of change of `f(x)` on the interval `4<=x<=6` is:

`(7-7)/2=0`

Answer 2

`0`

Explanation:

.

Average Rate of Change `=(f(b)-f(a))/(b-a)`

`=(3sin(pi/2*6)+7-3sin(pi/2*4)-7)/(6-4)=`

`(3sin(3pi)-3sin(2pi))/2=(0-0)/2=0`