https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function/v/domain-of-a-function-intro 2021-02-16T05:02:26Z What is the domain of a function? Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited. video https://cdn.kastatic.org/googleusercontent/21E08TKEglE2LwI6L_u3pd3hzgeaBNUEuPWSxAINdNwYLqG68DD5gsX3HiOcqQTVk9Q36Q-a-pHPNJAeAIiAX7Ih What is the domain of a function? Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited. https://cdn.kastatic.org/ka-youtube-converted/-DTMakGDZAw.mp4/-DTMakGDZAw.mp4 405 Domain and range https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function/v/range-of-a-function 2025-11-06T20:30:43.67988265Z What is the range of a function? The range of a function is the set of all possible outputs the function can produce. Some functions (like linear functions) can have a range of all real numbers, but lots of functions have a more limited set of possible outputs. video https://cdn.kastatic.org/googleusercontent/QtOI10gMX3xYAgVYOABaEWl-dNh_eWOQqQsX7MGvGh4PBTTXGsAZRjBbGSOk0IOesEL43E3nJ0OgSfBXRyWaCkT0 What is the range of a function? The range of a function is the set of all possible outputs the function can produce. Some functions (like linear functions) can have a range of all real numbers, but lots of functions have a more limited set of possible outputs. https://cdn.kastatic.org/ka-youtube-converted/96uHMcHWD2E.mp4/96uHMcHWD2E.mp4 399 Domain and range https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function/v/domain-and-range-from-graphs 2021-02-16T05:02:26Z Worked example: domain and range from graph Finding the domain and the range of a function that is given graphically. Sal Khan video https://cdn.kastatic.org/googleusercontent/N7YSTPtQJ08zW2VAcVIE-sImhLZ5Ju3p32DvOrnwwY_rm05BI_-9dgmWe7TZGIJpZ8UCpDQ7_Lf8SNo6Z6kkr_n0 Worked example: domain and range from graph Finding the domain and the range of a function that is given graphically. https://cdn.kastatic.org/ka-youtube-converted/sXP7VhU1gYE.mp4/sXP7VhU1gYE.mp4 214 Domain and range https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function/e/domain_and_range_0.5 2026-04-08T22:00:50.923818222Z Domain and range from graph Given the graph of a function, determine its domain or range. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:determining-the-domain-of-a-function/v/determine-values-domain 2022-09-10T01:04:29.754011735Z Determining whether values are in domain of function Sal shows how to test whether or not a value is or isn't in the domain of a function. video https://cdn.kastatic.org/googleusercontent/v4m-Zyja9R7wKI3PpddsyYyFTFsOEXq-mIxvYHX1940MPxl-nS8UxzktxYAedO-gXBj2FutiCvJ0fBctHni_CUelgA Determining whether values are in domain of function Sal shows how to test whether or not a value is or isn't in the domain of a function. https://cdn.kastatic.org/ka-youtube-converted/LdbrNNheFg8.mp4/LdbrNNheFg8.mp4 297 Domain and range