How do you find the domain and range of #y=3x+1#?

1 Answer
Alan P.
Mar 8, 2018

Domain: #RR# (all Real numbers)
Range: #RR# (all Real numbers)

Explanation:

#y=3x+1# is defined for all Real values of #x#; therefore the Domain is all Real values.

Re-arranging as #(y-1)/3=x#, we can see that this is also defined for all Real values of #y#; therefore the Range is all Real values.

(Note that in actual fact, the Domain and Range cover all Complex values too).

Related questions
See all questions in Domain and Range of a Function
Impact of this question
17038 views around the world
You can reuse this answer
Creative Commons License