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

1 Answer
Aug 6, 2015

Answer:

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#