Question

Question #3408d

Answer 1

mean rate of change is: 4

Explanation:

Using the general shortcut principle of `f'(nx^z)=nzx^(z-1)`

`f'(x)=2x+5`

So

`f'(-2)=2(-2)+5=+1`
`f'(1)color(white)(....)=2(1)color(white)(....)+5=+7`

The mean rate of change is: `" "(1+7)/2=4`

Answer 2

`4`

Explanation:

The `color(blue)"average rate of change"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)((f(b)-f(a))/(b-a))color(white)(2/2)|)))`

`"here " a=-2" and " b=1`

`f(1)=1+5+1=7`

`"and " f(-2)=(-2)^2+5(-2)+1=-5`

`rArr"average rate of change "=(7-(-5))/(1-(-2))=12/3=4`