Help with Listing Functions w/ Same Range & Diff Domains

[BruceW~]

Homework Statement

question: State two different functions that have same range but different domain. Then tell me what is the range of those two functions.

The attempt at a solution
Y = x/2
Y= x/2 +1

I don't know if that is correct or not. Any suggestion will help.

 

[BvU]

Missing the relevant expressions! What is the domain of a function ?
And what is the range ?

 

[BruceW~]

Missing the relevant expressions! What is the domain of a function ?
And what is the range ?

Y = x/2
Y= x/2 +1
Domain will be all real?
Range will be all real too?

This is why I'm confused because they both have all real domain and range, but the question asked two different functions that have same range but different domain

 

[BvU]

What you write is correct, so these two don't help for the exercise !

Let me ask again:
What (in words) is the domain of a function ?
And what is the range of a function ?

 

[HallsofIvy]

Y = x/2
Y= x/2 +1
Domain will be all real?
Range will be all real too?

This is why I'm confused because they both have all real domain and range, but the question asked two different functions that have same range but different domain

Why would that confuse you? You are saying the these functions both have the same domain so they do NOT satisfy the conditions!

So what do you know about "functions", "domains", and "ranges"?

For example, what are the domain and range for "y= 3x for 0< x< 2"?

 

[BruceW~]

ok, I get it now. Thank you.

Why would that confuse you? You are saying the these functions both have the same domain so they do NOT satisfy the conditions!

So what do you know about "functions", "domains", and "ranges"?

For example, what are the domain and range for "y= 3x for 0< x< 2"?