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chapter twoo

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
Created by: danielle.