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

1 Answer
Rafael
Feb 27, 2016

domf=RR
ranf=RR

Explanation:

f(x)=x+3

Domain

Is there any value of x that will make f(x) undefined?

The answer to this is no, so the domain is the set of all real numbers RR.

domf=RR

Range

You will notice that the graph of x+3 is just a line, meaning it will intersect all values of y (since it increases and decreases without limit).

Therefore, the range is also the set of all real numbers RR.

ranf=RR

Just keep this in mind. When you're given a linear function, its domain and range are both the set of all real numbers (unless the problem tells you it isn't).

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