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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. |
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