The original poster seeks to identify two different functions that share the same range but have different domains. They provide examples of linear functions and express uncertainty about their correctness in relation to the problem's requirements.
Some participants have pointed out that the functions suggested by the original poster do not fulfill the exercise's conditions, as they share the same domain. There is ongoing clarification regarding the concepts of functions, domains, and ranges, with a focus on understanding the requirements of the problem.
There is confusion stemming from the requirement for different domains, as the original poster's examples do not satisfy this condition. The discussion includes prompts for deeper understanding of the concepts involved.
Y = x/2BvU said:Missing the relevant expressions! What is the domain of a function ?
And what is the range ?
Why would that confuse you? You are saying the these functions both have the same domain so they do NOT satisfy the conditions!BruceW~ said: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
HallsofIvy said: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"?