Question

What is the functions average rate of change over each interval?

Answer 1

we can use average rate of change formula

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

(a) x = -3 to x = -2

Firstly, we will find points

(-3, 0) and (-2,2)

now, we can plug these values into formula

and we get

$=\frac{2-0}{-2+3}$

$=2$

(b)x = -2 to x =1

Firstly, we will find points

(-2,2) and (1,-4)

now, we can plug these values into formula

and we get

$=\frac{-4-2}{1+2}$

$=-2$

(c) x = 0 to x =1

Firstly, we will find points

(0,-3) and (1,-4)

now, we can plug these values into formula

and we get

$=\frac{-4+3}{1-0}$

$=-1$

(d) x = 1 to x =2

Firstly, we will find points

(1,-4) and (2,0)

now, we can plug these values into formula

and we get

$=\frac{0+4}{2-1}$

$=4$

(e) x = -1 to x =0

Firstly, we will find points

(-1,0)  and (0,-3)

now, we can plug these values into formula

and we get

$=\frac{-3-0}{0+1}$

$=-3$

(f) x = -1 to x =2

Firstly, we will find points

(-1,0)  and (2,0)

now, we can plug these values into formula

and we get

$=\frac{0-0}{2+1}$

$=0$