Question

What is the rate of change of: [0,5] , [-3,3] , [-5,3] , [-3,5]

Answer 1

For our first interval,(0,5), we find our rate of change as

`\frac{f(x)_2-f(x)_1_{}}{x_2-x_1}`

For (0,5)

`(28-3)/(5-0)=\text{ 5}`

For (-3,3)

`(12-12)/(3-(-3))=0`

For (-5,3)

`(12-28)/(3-(-5))=(-16)/(8)=-2`

For (-3,5)

`(28-12)/(5-(-3))=(16)/(8)=2`