What is the average rate of change for the function over the interval, #f(x)= 3/(x-2)# between #x =4# and #x=7#?

2 Answers
Mar 21, 2018

Answer:

The average rate of change is #=-3/10#

Explanation:

The average rate of change of a function #f(x)# over the interval #[a,b]# is

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

Here,

#f(x)=3/(x-2)#

and #[a,b] = [4,7]#

#f(b)=f(7)=3/(7-2)=3/5#

#f(a)=f(4)=3/(4-2)=3/2#

Therefore,

The rate of change is

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

#=(3/5-3/2)/(7-4)#

#=-9/10*1/3=-3/10#

Mar 21, 2018

Answer:

The average rate of change is #-3/10#

Explanation:

Average rate of change is given by

#A = (f(b) - f(a))/(b - a)#

So the average rate of change here will be

#A = (f(7) - f(4))/(7 - 4)#

#A = (3/5 - 3/2)/3#

#A = (-9/10)/3#

#A = -3/10#

Hopefully this helps!