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"?
Listing functions with the same range and different domains can help identify patterns and relationships between different functions. It can also be useful in graphing and analyzing data.
In mathematics, the range of a function refers to the set of all possible output values or y-values that the function can produce.
To determine if two functions have the same range, you can compare the possible output values or y-values for each function. If the sets of output values are identical, then the functions have the same range.
If two functions have the same range and different domains, it means that they produce the same output values for different input values. This can indicate a relationship or pattern between the two functions.
Identifying functions with the same range and different domains can help in simplifying complex functions and making them easier to understand. It can also be useful in solving mathematical problems and making predictions based on patterns observed between the functions.