
Graphs of Power Functions Math Help Game Tips:  The relations y=x^{2}, y=x^{3}, and y=x^{4} are examples of power functions.  A 'variable base raised to a constant exponent' = (variable)^{(constant)} is a 'Power function'.  In general, a 'Power function' can be represented by a formula such as y=x^{n}.  The relations y=3x^{2}, y=4x^{6}, and y=2x^{3} are examples of power functions with a front multiplier.  In general, a 'Constant times a Power function' can be represented by a formula such as y=kx^{n}.  In this game, 'k' is an integer from 3 to 3 and 'n' is an integer from 2 to 5.  Notice y=x^{2} has graph points such as (1,1), (0,0), (1,1), and (2,4)... , while a relation such as y=2x^{3} has graph points such as (1,2), (0,0), (1,2), and (2,16)... .  There are many applications of power functions. For example, the area of a circle is a function of (radius)^{2}, and the volume of a cube is a function of (side)^{3}.  The game can be played using the mouse by itself or using the keyboard by itself.  If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.  Adjust the game's speed by pressing the + or  key repeatedly. 
More SliderMath 