Graphs of Power Functions Math Help Game Tips:
- The relations y=x2, y=x3, and y=x4 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=xn.
- The relations y=3x2, y=4x6, and y=2x3 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=kxn.
- In this game, 'k' is an integer from -3 to 3 and 'n' is an integer from 2 to 5.
- Notice y=x2 has graph points such as (-1,1), (0,0), (1,1), and (2,4)... ,
while a relation such as y=2x3 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.