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