Question

How are domain and range related in a function?

- The answer must be in your own words, using mathematical vocabulary. You should not use what the internet says, this will result in either a grade of 0 for plagiarism or a very low score. You should add details into your explanations such as examples to support your answer.

PLEASE BE CLEAR. MAKE EXAMPLES CLEAR.

Answer 1

For any function f(x) domain is all the possible values of “x” in the function (for which function is defined). Range is all the possible values of f(x) that we obtain after putting different values of x. In simple words, domain is the list of possible inputs and range is the list of possible outputs for a function.

Suppose, we have a function

f(x) = 1/x

Then the domain is all the real numbers except zero because for x=0 the value of the function is undefined. (Basically you have to look what numbers can you put in this function as x)

The range of this function is all the real numbers from negative to positive infinity. Because that can be obtained on putting different values of ‘x’ in this function. (You have to see what is the output of this function you obtain after substituting different values of x).