Question

G(x)=-3x+2 with a domain of (-1,2) what is the range

Answer 1

we are given

`g(x)=-3x+2`

we can compare it with

slope intercept of line

`y=mx+b`

so,

slope is m=-3

y-intercept is b=2

Graph:

we can draw graph

Range:

we are given domain

`(-1,2]`

At x=-1:

`g(-1)=-3*-1+2`

`g(-1)=5`

At x=2:

`g(2)=-3*2+2`

`g(2)=-4`

we know that

range is all possible values of y

so, range is

`[-4,5)`.........Answer