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.
- Your Score Report appears after you have made 6 choices.
- Your Game Score is reduced by the number of butterfly hits.
- To slow the game speed repeat tap/click on the word Slider.
- To increase the game speed repeat tap/click on the word Math.
- Speed can also be adjusted with a keyboard's - and + keys.
- Refresh/Reload the web page to restart the game.
- Adjust the sound level of media on your device.