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#