Question

I learned this so long ago & i don’t remember how to do it. plz help

Answer 1

(21)

Suppose, we have to find average rate of change of f(x) on [a,b]

we can use average rate of change formula

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

we are given

`f(x)=x^2+4x+1`

`f(4)=4^2+4*4+1`

`f(4)=33`

`f(-1)=(-1)^2+4*(-1)+1`

`f(-1)=-2`

`A=(f(4)-f(-1))/(4+1)`

`A=(33-(-2))/(4+1)`

`A=7`.............Answer

(22)

Suppose, we have to find average rate of change of f(x) on [a,b]

we can use average rate of change formula

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

on [-2,3]

`A=(g(3)-g(-2))/(3+2)`

we can look at the table

g(3)=12.5

g(-2)=400

so, we can plug these values

`A=(12.5-400)/(3+2)`

`A=-77.5`.........Answer