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chapter twoo
Question | Answer |
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direct-variation function | y=kx to the nth power. with k not equal to 0 and n being greater then 0. |
Example: the weight W of an adult animal of a given species is known to vary directly witht he cube of its height H. write an equation relating W and H. | w=kh cubed. |
inverse variation function | y= k/x tot he nth power when is not equal to 0 and n is greater then 0. |
Example:The number N of oranges you can pack in a box is approximately inversely proportional to the cube of the average diameter D of the oranges. Write and equation to express the relation. | N is about k/d cubed. |
Fundamental Theorem of variation. | a. (y=kx to the nth), and x is multiplied by c, then y is multiplied by c to the nth power. b.(y=k/x tp the nth power), and x is multiplied by a nonzero constant c, then y is divided by c to the nth. |
Slope of a line through to points | y2-y1/x2-x1 |
the graph of y=kx to the nth power | Creates a parabola |
the graphs of y=k/x and y=k/x squared | Creates a hyperbola |