we can use average rate of change formula
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
(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
[tex]=\frac{2-0}{-2+3}[/tex]
[tex]=2[/tex]
(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
[tex]=\frac{-4-2}{1+2}[/tex]
[tex]=-2[/tex]
(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
[tex]=\frac{-4+3}{1-0}[/tex]
[tex]=-1[/tex]
(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
[tex]=\frac{0+4}{2-1}[/tex]
[tex]=4[/tex]
(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
[tex]=\frac{-3-0}{0+1}[/tex]
[tex]=-3[/tex]
(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
[tex]=\frac{0-0}{2+1}[/tex]
[tex]=0[/tex]
