Question

Find the average rage of change of each of the following functions over the interval 1 < × > 5.f(x)=3x-7

Answer 1

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