Domain and Range Calculator

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Example

Created on 2024-06-20Asked by Elizabeth Wilson (Solvelet student)

State the domain and range of the function

f(x) = \sqrt{x}

Solution

For the function

f(x) = \sqrt{x}

: Domain:

x \geq 0

(since the square root function is only defined for non-negative numbers). Range:

y \geq 0

(since the output of the square root function is always non-negative). Solved on Solvelet with Basic AI Model

Some of the related questions asked by Michael Clark on Solvelet

1. Determine the domain and range -

f(x) = \sqrt{4 - x^2}

.2. Find the domain and range of the function

g(x) = \frac{1}{x - 3}

DefinitionIn a type of mathematics, the domain of a map maybe the set of all input values (independent variables) within the sense that it ought to be for the map to be well outlined (+, usually math function value) at any purpose within the domain. The output is simply the input being put into the function at hand: range([input]) where the input is function(input). Knowing the domain and range of the function is important, because we will use this to analysis what can be know from the function, and how it can be apply in certain formulas. Example: The domain of f(x)=x is all non-negative real numbers [0,∞), and the range is [0,∞).

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