Question

How do you find the average rate of change of `y=4x-3x^2` over [2,3]?

Answer 1

`-11`

Explanation:

`"the average rate of change of a function f(x) over an "`
`"interval between 2 points is the slope of the "color(blue)"secant"`
`"connecting the 2 points"`

`"this is found using the following"`

`(f(b)-f(a))/(b-a)to[a,b]`

`"here "[a,b]=[2,3]`

`rArrf(b)=f(3)=12-27=-15`

`rArrf(a)=f(2)=8-12=-4`

`"average rate of change "=(-15-(-4))/(3-2)=-11`