What is the domain and range of y=2x+3?

1 Answer
Alan P.
Aug 6, 2015

Domain is x epsilon RR
Range is y epsilon RR

Explanation:

There are no limitations placed on possible values of x [the Domain] (for example, no value of x would cause an attempt to divide by zero)
so x can take on any value. (for the purposes of this question I've assumed that you are working with Real numbers, RR, but x could in fact be any complex , CC, value.

We can see that any value within RR (or CC) could be generated for y (the Range) by noting that the inverse of the function:
x= (y-3)/2 places no limitations on the value of y

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