Question

If the domain of the function y= -4x+3 is -2< x <= 3 what is the range

Answer 1

heeeeeelppp

Answer 2

Is this calculus?

Answer 3

no, this is algebra II

Answer 4

Okay, so start with \[
-2<x\leq 3
\]

Answer 5

k

Answer 6

What you want to end up with is something like \[
a<-4x+3<b
\]

Answer 7

What does y= -4x -2 has to do with inequalities

Answer 8

?

Answer 9

Can you please explain me how did you mix the inequaility with the equation? I'm on 11th grade xD

Answer 10

Okay so we start out with \[
-2< x \leq 3
\]Right? And we have to change it so that in the middle is \(y\).
This means we need to get \(x\to -4x+3\)

Answer 11

so it takes two steps:
1) multiply by \(-4\)
2) add \(3\)

Answer 12

ok

Answer 13

\[
−2<x≤3
\]Multiply it by \(-4\), this causes inequalities to flip since it is a negative number\[
−2\times -4>-4x \geq 3\times -4
\]Now simplify\[
8>-4x\geq -12
\]
This completes step 1)

Answer 14

okk

Answer 15

Next step is add \(3\). Can you do it?