Question

H e l p m e

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
A) −1
B) −2
C) −3
D) −4

Answer 1

Answer Step-by-step explanation:

`\huge\boxed{A)-1}`

`The~average~rate~of~change~of~the~given~quadratic~function~on~the`
`interval~0` ≤ x ≤
`4`
`is~the~slope~of~the~secant~line~connecting~the~points~(0,f(0))~and~(4,f(4)).`

`The~average~rate~of~change~is:`

`=(f(4)-f(0))/(4-0)`

`Now,from~the~graph,f(0)~is~0~and~f(4)~is~-4.`

`We~plug~in~these~values~to~obtain;`

`=(-4-0)/(4-0)`

`And~then,this~simplifies~to:`

`=(-4)/(4)`

`which~is~obviously:`

`=-1`

`Thus,~the~average~rate~of~change~for~the~given~quadratic~function`
`whose~graph~is~shown~on~0` ≤ x ≤
`4~is~=-1.`