Find the average rate of change of each of the following functions over the interval 1 < × > 5.
f(x)=3x-7
this is a linear equation
the average rate of change is the same that the slope
we need two points
so
For x=1
f(1)=3(1)-7
f(1)=-4
so
(1,-4)
For x=5
f(5)=3(5)-7
f(5)=8
so
(5,8)
Find the slope
m=(8+4)/(5-1)
m=12/4
m=3
therefore
the average rate of change is 3