1. y=2e^-x -3

2. y=2sin(3x+pi) - 1

3. y= {sqrt(-x) -4<x<0

{sqrt(x) 0 < x<4

domain is asking for allowable x-values and range asks for resulting y-values, but i'm not sure how to do it for these.

Printable View

- Sep 7th 2009, 10:04 AMfezz349Domain & Range
1. y=2e^-x -3

2. y=2sin(3x+pi) - 1

3. y= {sqrt(-x) -4__<__x__<__0

{sqrt(x) 0 < x__<__4

domain is asking for allowable x-values and range asks for resulting y-values, but i'm not sure how to do it for these. - Sep 7th 2009, 10:37 AMskeeter
- Sep 7th 2009, 11:53 AMfezz349
I know I can easily graph them in my calculator and come up with the answers but I'm interested in the algebraic breakdown.

- Sep 7th 2009, 12:05 PMskeeter
ok, here is the algebra thought process involved for your first function ...

what is the domain and range of the parent function ?

what transformation occurs to if the sign of x is changed? how does that transformation affect the domain and range?

how does the transformation of multiplying by affect the domain and range?

finally, how does the final transformation of subtracting from affect the domain and range?