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).

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