The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly.

August 15, 2025 - The Domain Interval Notation Calculator is an essential tool for students, teachers, and math enthusiasts who want to quickly determine the domain of a function and express it in interval notation. Whether you are dealing with polynomials, rational functions, square roots, or trigonometric ...

In the above example, 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 \( x>=3 \) or \( [3,\infty ) \) in Interval Notation.

August 15, 2025 - Square roots of negative numbers – The radicand must be ≥ 0. Logarithms – Arguments must be positive. Other undefined operations – Any input that makes the function undefined. ... Input the function (e.g., f(x) = 1/(x-3)). Automatically detect restrictions (e.g., x ≠ 3). Generate ...

Fundamentals of Calculus - Joel ... and range can be expressed in interval notation, such as (−∞,∞) for all real numbers or [0,∞) for non-negative outputs....

For the function f(x) = 1/x, the domain would be all real numbers except for x = 0 (x<0 or x>0), as division by zero is undefined. ... A function basically relates an input to an output, there’s an input, a relationship and an output. For every input... ... scientific calculator inverse calculator simplify calculator distance calculator fractions calculator interval notation calculator cross product calculator probability calculator derivative calculator series calculator ratios calculator statistics calculator integral calculator inverse laplace transform calculator rounding calculator gcf

October 6, 2021 - The domain of a function includes ... the square root of a negative number. The domain of a function can be determined by listing the input values of a set of ordered pairs. The domain of a function can also be determined by identifying the ...

Free Interval Notation Calculator - convert inequalities into interval notations step by step

December 8, 2023 - Because of this, x squared cannot equal one. Then, x cannot be higher than or less than one if we take the square root of both sides. Therefore, we will be able to move from infinite to infinity when we specify our domain in interval notation.

August 27, 2025 - Enter your mathematical function using standard notation like x^2, sqrt(x), log(x), or 1/x with proper syntax validation. The computational utility automatically analyzes domain restrictions such as division by zero, negative square roots, and ...

Answer (1 of 2): With an ordinary calculator, you really can't, except to confirm individual values that you think may be outside the domain by plugging them in to see if you get an error. It won't help you find them though. If it's a graphing calculator, you can graph it and see where the vertic...

September 30, 2015 - Since the number under the square-root cannot be negative, we set this inequality to find the domain. ... Solve the inequality for x. ... The domain in interval notation is [9, ∞).

If the endpoint is not included (e.g., division by zero), then use the parentheses ( ) If the endpoint is included (e.g., square root boundary), then use the brackets [ ] Example: [5, ∞) means x = 5 is included, while (5, ∞) means it is not included. To learn how to convert inequity and ...

Solution: We know that the principal square root of a positive number is also positive, hence the · Range is Rf={ y : y>0 }. Find the Range of the function g(x)=2-2x-x2. ... Step 3: Since all the output values will be less than or equal to ...

July 27, 2022 - The domain of a function includes ... the square root of a negative number. The domain of a function can be determined by listing the input values of a set of ordered pairs. The domain of a function can also be determined by identifying the ...

Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

October 31, 2021 - The radical function has an implied ... all real numbers greater than or equal to 2. In interval notation, we can write that as [2, ∞)....

September 11, 2025 - To find the domain of a function using a calculator, you can follow these general steps: Understand the Function: Identify the type of function you're dealing with (e.g., polynomial, rational, square root, etc.). Identify Restrictions: For Rational Functions: Set the denominator not equal to ...