Variation Functions

Inverse
1. 1. n=1
    1. hyperbolas
      1. asymptotes: x-axis, y-axis
  2. n=2
    1. inverse square curves
      1. asymptotes:y-axis, x-axis
Direct
1. 1. n=1
    1. lines
      1. domain and range: all real numbers
  2. n=2
    1. parabolas
2. combined variation
  1. 3 or more variables in a function
3. joint variation
  1. 3 or more variables that are multiplied
Fundamental theorem of variation
1. If y varies directly as x^n, then when x is multiplied by c, y is multiplied by c^n. If y varies inversely as x^n, then when x is multiplied by c, y is divided 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 = kx^n. If multiplying 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 = k/x^n

Resource summary

	Created by mar-tamayo over 8 years ago