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

$A=\frac{f(b)-f(a)}{b-a}$

we are given

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

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

$f(4)=33$

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

$f(-1)=-2$

$A=\frac{f(4)-f(-1)}{4+1}$

$A=\frac{33-(-2)}{4+1}$

$A=7$.............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

$A=\frac{f(b)-f(a)}{b-a}$

on [-2,3]

$A=\frac{g(3)-g(-2)}{3+2}$

we can look at the table

g(3)=12.5

g(-2)=400

so, we can plug these values

$A=\frac{12.5-400}{3+2}$

$A=-77.5$.........Answer