What are Power Functions? | Functions and Relations, Types of Functions скачать в хорошем качестве

What are Power Functions? | Functions and Relations, Types of Functions

What are power functions? Power functions are functions of the form f(x) = kx^a where k and a are both constant real numbers. So, in a power function, the variable is raised to a power. Other definitions restrict the coefficient k to being equal to 1, but that definition seems less common and does not describe a family of functions as useful in reality. We go over the definition of power functions and some examples and interesting properties in today's full math video lesson! All power functions with positive even exponents have a parabolic shape, and if they have a coefficient of 1 they will intersect the points (1,1) and (-1,1). There are lots of interesting properties of power functions depending on their exponents and coefficients, try to figure some out on your own, and why the properties exist! You also might notice, if you know what odd and even functions are, that power functions with even exponents are even functions, and power functions with odd exponents are odd functions! That's where "odd" and "even" functions get their name! Desmos Graphing Software: https://www.desmos.com I hope you find this video helpful, and be sure to ask any questions down in the comments! ******************************************************************** The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work. Vallow Bandcamp: https://vallow.bandcamp.com/ Vallow Spotify: https://open.spotify.com/artist/0fRtu... Vallow SoundCloud:   / benwatts-3   ******************************************************************** +WRATH OF MATH+ ◆ Support Wrath of Math on Patreon:   / wrathofmathlessons   Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu   My Music Channel:    / seanemusic