SOLUTION: f(x)=3x+2,state the domain and range

Question 1202317: f(x)=3x+2,state the domain and range
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Answers:
Domain = set of all real numbers
Range = set of all real numbers

Graph:

The graph stretches forever to the left and right. This is a visual confirmation the domain is the set of any real number. We can replace x with any number to get some output y = f(x).

The graph stretches forever up and down, which gives visual confirmation of the range being the set of all real numbers.

If your teacher wants interval notation, then,
Domain is (−∞, ∞)
Range is (−∞, ∞)
Both result in the same interval notation.

If instead inequalities are required, then,
Domain: −∞ < x < ∞
Range: −∞ < y < ∞

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