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

Recent Posts

  • uncategorized

LaPlace Transform Calculator

Laplace Transform Calculator Enter your Function in terms t to find any Laplace Transform. How…

9 months ago
  • Parabola

Parabola Graphing Calculator

What is the purpose of the Parabola Graphing Calculator? It allows you to graph Parabolas.…

9 months ago
  • Mike

Contact Mike

For Questions, Bookings, etc : Chat with us. Email us : support@mikescalculator.com Or call us…

9 months ago
  • Tutoring

Schedule a Tutoring Session

For Questions, Bookings, etc : Chat with us. Email us : support@mikescalculator.com Or call us…

9 months ago
  • Quadratic Equations

Domain and Range of a Parabola

Table of Content (8 min. reading time) 1 - Step by Step Solver: Find the…

9 months ago
  • Statistics

What is the Mean in Math?

What does the Mean mean in Math? The Mean in Mathematics is just another word…

9 months ago
  • Statistics

Sample Standard Deviation

What is the Formula for Sample Standard Deviation ? The Formula for the Standard Deviation…

9 months ago
  • Statistics

Mean Median Mode Range Calculator

How do you find Mean, Median, Mode, Range, Standard Deviation and Variance? Mean = Average…

9 months ago
  • Algebra

Compute Discriminant – to discriminate between Real and Complex Solutions of a Quadratic Equation.

What you will learn in this mini lesson You will learn how to find the…

9 months ago
  • Algebra

How to Factor a Quadratic Equation and Solve It.

What you will learn in this mini lesson You will learn how to factor and…

9 months ago
  • Algebra

Standard Form of a Quadratic Function

What you need to know about Standard Form of a Quadratic Function The Quadratic Equation…

9 months ago
  • Vertex

Vertex Form in 5 Minutes (Formulas, Solvers, Examples)

What is Vertex Form of a Quadratic Equation? The Vertex Form is f(x) = a(x-h)²+k…

9 months ago
  • Algebra

Solve A Quadratic Equation by Completing the Square

What you will learn in this mini lesson You will learn how to solve Quadratic…

9 months ago
  • Algebra

STANDARD TO VERTEX FORM CALCULATOR

Table of Content (8 min. reading time) 1 - Step by Step Solver: Find the…

9 months ago
  • Vertex Form of a Parabola

VERTEX TO STANDARD FORM CALCULATOR

How to convert from Vertex to Standard Form? The Vertex Form of a Parabola is…

9 months ago
  • Quadratic Equations

The 3 Parabola Forms: Standard Form, Vertex Form and Factored Form.

What you will learn in this mini lesson You will learn how the 3 different…

1 year ago
  • Statistics

Standard Deviation to Variance

Standard Deviation to Variance Calculator What is the difference between Variance and Standard Deviation? Both…

1 year ago
  • Algebra

Quadratic Form Calculator

What you will learn in this mini lesson You will learn how to solve Quadratic…

2 years ago
  • Python

Python Random Number Generator

How to generate Random Numbers using Python's Random Number Generator. 1) Let's start with an…

2 years ago