Algebra

Domain and Range Calculator

Published by
Mike Woodhill PhD


What is the Domain and Range?

1) The Domain is defined as the set of all possible x-values that can be plugged into a function.

2) The Range of a function is defined as the set of all resulting y values.

Example: Find the Domain and Range of √(x-3)

1) The Domain is defined as the set of x-values that can be plugged into a function. Here, we can only plug in x-values greater or equal to 3 into the square root function avoiding the content of a square root to be negative.
Thus, domain is x>=3 .
Using Interval Notation we write: [3,∞)

2) The Range of a function is defined as the set of all resulting y values. Here, the lowest y coordinate is y=0 achieved when x=3 is plugged in. The larger the x value plugged in the larger the y coordinate we obtain.
Thus, the range is y>=0 .
Using Interval Notation we write: [0,∞)



Free Domain and Range Calculator

Find the Domain and Range for any Function in a matter of seconds.



How do I use the Domain and Range Calculator?

Just enter your Function and press the blue “ARROW” button. The Domain and Range will be displayed above the arrow.


What’s another way to think of Domain and Range?

1) The Domain are the x-values going left (from the smallest x-value) to right (to the largest x-value).

2) The Range are the y-values going from lowest (from the smallest y-value) to highest (to the largest y-value).



What are Domain and Range of a constant Function? In Example y=6 .

1) The Domain is all real numbers. Any number can be plugged into y=6.

2) The Range is just y=6. The lowest and highest y are both 6.



Mike Woodhill PhD

As a long time instructor I would like you to benefit from my Step by Step Calculators. You may also schedule a live tutoring session to succeed in your class. 😉

Published by
Mike Woodhill PhD

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