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Power Functions

Videos, worksheets, games and acivities to help PreCalculus students learn about power functions.

 

 

Power Functions :
A power function is a function where y = xn where n is any real constant number. Many of our parent functions such as linear functions and quadratic functions are in fact power functions. Other power functions include y = x3, y = 1/x and y = square root of x. Power functions are some of the most important functions in Algebra. All power functions pass through the point (1,1) on the coordinate plane.

 

 

Integer Power Function :
Power functions are functions where y = xn where "n" is any real constant number. When "n" is a positive integer, we have two possible scenarios of an integer power function. When "n" is odd, the function passes through the origin, (1,1) and (-1,-1). Also, as the exponent increases, the function becomes steeper. When "n" is even, the function passes through the origin, (1,1) and (-1,1). These functions are symmetric about the origin.

 

 

 

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