Domain of a Function - Revision history

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Resources

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Resources and Examples

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Resources and Examples

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 ==Resources==
 * [https://www.youtube.com/watch?v=Q3NWljhiSJg Domain and Range: Basic Idea], patrickJMT
 * [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/find-the-domain-of-a-function-defined-by-an-equation/ Finding Domain with an Equation], Lumen Learning
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 * [https://www.youtube.com/watch?v=BxaYyS6lsQ4 Finding Domain and Range of a Piecewise Function], patrickJMT
 * [https://mathculus.com/how-to-find-the-domain-of-a-function-algebraically/ How to Find Domain + Example Problems], Math Culus

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 * The domain of <math> h(x) = \sqrt{x} </math> is <math> [0, \inf) </math>, since <math> \sqrt{x} </math> is only defined when <math> x </math> is nonnegative (that is, when <math> x </math> is greater than or equal to 0).
-==Resources and Examples==
+==Resources==
 * [https://en.wikipedia.org/wiki/Domain_of_a_function Domain of a Function], Wikipedia
 * [https://www.youtube.com/watch?v=Q3NWljhiSJg Domain and Range: Basic Idea], patrickJMT

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 ==Resources and Examples==
 * [https://en.wikipedia.org/wiki/Domain_of_a_function Domain of a Function], Wikipedia
 * [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/find-the-domain-of-a-function-defined-by-an-equation/ Finding Domain with an Equation], Lumen Learning
 * [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/find-domain-and-range-from-graphs/ Finding Domain and Range with Graphs], Lumen Learning
 * [https://mathculus.com/how-to-find-the-domain-of-a-function-algebraically/ How to Find Domain + Example Problems], Math Culus

← Older revision		Revision as of 23:32, 14 September 2021
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	* [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/find-the-domain-of-a-function-defined-by-an-equation/ Finding Domain with an Equation], Lumen Learning		* [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/find-the-domain-of-a-function-defined-by-an-equation/ Finding Domain with an Equation], Lumen Learning
	* [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/find-domain-and-range-from-graphs/ Finding Domain and Range with Graphs], Lumen Learning		* [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/find-domain-and-range-from-graphs/ Finding Domain and Range with Graphs], Lumen Learning
		+	* [https://mathculus.com/how-to-find-the-domain-of-a-function-algebraically/ How to Find Domain + Example Problems], Math Culus

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 Examples:
-* Let <math>S</math> be a set of ordered pairs such that <math> S = \{(1,2), (2,3), (4, 7), (13, 9), (-20, 0)\}</math>. The domain is the set of all x values of <math>S</math>, so the domain is <math>\{-20, 1, 2, 4, 13\}</math>.
+* Let <math> S </math> be a set of ordered pairs such that <math> S = \{(1,2), (2,3), (4, 7), (13, 9), (-20, 0)\}</math>. The domain is the set of all x values of <math> S </math>, so the domain is <math> \{-20, 1, 2, 4, 13\} </math>.
 * The domain of <math> g(x) = 1/x </math> is all real numbers EXCEPT 0, since 1/0 is not defined.
 * The domain of <math> h(x) = \sqrt{x} </math> is <math> [0, \inf) </math>, since <math> \sqrt{x} </math> is only defined when <math> x </math> is nonnegative (that is, when <math> x </math> is greater than or equal to 0).

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 If the domain of a function is a subset of the real numbers and the function is represented in a Cartesian coordinate system, then the domain is represented on the x-axis.
-The domain of a function f can be thought of as the set of all x values that can be plugged into f(x) that return a valid output. For example, if we have a function g in the Cartesian plane, the domain is all of the x values such that g(x) is a real number.
+Examples:
+* Let <math>S</math> be a set of ordered pairs such that <math> S = {(1,2), (2,3), (4, 7), (13, 9), (-20, 0)}</math>. The domain is the set of all x values of S, so the domain is {-20, 1, 2, 4, 13}.
 * The domain of <math> g(x) = 1/x </math> is all real numbers EXCEPT 0, since 1/0 is not defined.
 * The domain of <math> h(x) = \sqrt{x} </math> is the set <math> [0, \inf) </math>, since <math> \sqrt{x} </math> is only defined when <math> x </math> is nonnegative (that is, when <math> x </math> is greater than or equal to 0).
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 ==Resources and Examples==
 * [https://en.wikipedia.org/wiki/Domain_of_a_function Domain of a Function], Wikipedia

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 Examples:
-* The domain of f(x) = x^2 is all real numbers, since x^2 is real for all real numbers.
+* The domain of <math> f(x) = x^2 </math> is all real numbers, since <math> x^2 </math> is real for all real numbers <math> x </math>.
-* The domain of g(x) = 1/x is all real numbers EXCEPT 0, since 1/0 is not defined.
+* The domain of <math> g(x) = 1/x </math> is all real numbers EXCEPT 0, since 1/0 is not defined.
-* The domain of h(x) = sqrt(x) is the set [0, inf), since sqrt(x) is only defined when x is nonnegative (that is, when x is greater than or equal to 0).
+* The domain of <math> h(x) = \sqrt{x} </math> is the set <math> [0, \inf) </math>, since <math> \sqrt{x} </math> is only defined when <math> x </math> is nonnegative (that is, when <math> x </math> is greater than or equal to 0).
-<math> \pi </math>
 ==Resources and Examples==