Question #8b99b

2 Answers
Jan 10, 2018

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

Jan 10, 2018

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