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Variation Functions 2

Description

All the variation relations
mar-tamayo
Mind Map by mar-tamayo, updated more than 1 year ago
mar-tamayo
Created by mar-tamayo over 6 years ago
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Resource summary

Variation Functions
  1. Direct
      1. n=1
          1. Domain and Range are the set of all real numbers
          2. n=2
              1. Domain: set of all reals Range: [y:y>0]
                1. Domain: set of all reals Range: [y:y<0]
            1. Combined
              1. 3 or more variables that are in a function
                1. y-Kx^2/z
              2. Joint
                1. 3 or more variables that are being multiplied
                  1. y-kxz
              3. Inverse
                  1. n=1
                        1. Domain and Range:[x:x= 0]
                          1. Asymptotes: x-axis and y-axis
                      1. n=2
                          1. Domain: [x:x=0] Range: [y:y >0]
                            1. Domain: [x:x=0] Range: [y:y <0]
                              1. Asymptotes y-axis and x-axis
                      2. 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
                        2. 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
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