Variation Functions 2

Variation Functions

Direct
1. 1. n=1
    1. 1. Domain and Range are the set of all real numbers
  2. n=2
    1. 1. Domain: set of all reals Range: [y:y>0]
    2. 1. Domain: set of all reals Range: [y:y<0]
2. Combined
  1. 3 or more variables that are in a function
    1. y-Kx^2/z
3. Joint
  1. 3 or more variables that are being multiplied
    1. y-kxz
Inverse
1. 1. n=1
    2. 1. Domain and Range:[x:x= 0]
        Asymptotes: x-axis and y-axis
  2. n=2
    1. 1. Domain: [x:x=0] Range: [y:y >0]
    2. 1. Domain: [x:x=0] Range: [y:y <0]
        Asymptotes y-axis and x-axis
Fundamental Theorem of Variation
1. If y=kx^n, that is If y varies directly as x^n, then when x is multiplied. If y=k/x^n, that is y varies inversely as x^n, and x is multiplied by a non-zero constant c, then y is divided by c^n by c, y is multiplied by c^n
Converse of Fundamental Theorem
1. If multiplying every x value of a function by c results in multiplying the corresponding y values by c^n, then y varies directly as the nth power of x, that is y=k/x^n. If multipying every x value of a function by c results in dividing the corresponding y values by c^n, then y varies inversely as the nth power of x, that is y

Resource summary

	Created by mar-tamayo over 8 years ago