Lilly B.

asked • 06/04/18

Range and domain of f(x)=15x+1500

I need help with a project I’m working on. My teacher never explain how to find range or domain and I don’t understand any turorials so please help 

Andrew M.

Generally speaking the domain is all the possible input values for "x", the independent variable.
Since there are no restrictions in place for x then the domain is all real numbers or (-∞, ∞)
 
The range is all possible output values of the function f(x), or the dependent variable.  Since this
is a linear function the output values also are all real numbers so the range is (-∞, ∞)
 
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06/04/18

1 Expert Answer

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Kenneth S. answered • 06/04/18

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If you Google range and domain of functions, you will get clear explanations with examples.
You should look up, in your textbook, those terms (use Index or Glossary).
 
In practice, it could be that x cannot ever be < 0, and that might limit the domain. Without such practical restriction (due to what the variables represent in the real world), this function is linear; its graph is a straight line and x may be any Real number.
And in that case, function values (which constitute the range) may also be all Reals.
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