VARIATION FUNCTIONS

VARIATION FUNCTIONS

1. DIRECT

   • EQUATIONS: y=kx^n K NOT 0
     • N=1
     • N=2
   • FUNDAMENTAL THEOREM OF VARTION:
     • If y varies directly as x^n, then when x is multiplied by c, y is multiplied by c^n

2. INVERSE

   • EQUATIONS: y = k/x`N
     • N=1
       • ASYMPTOTES:asymptotes: x-axis, y-axis
     • N=2
       • ASYMPTOTES:asymptotes: x-axis, y-axis
   • FUNDAMENTAL THEOREM OF VARIATION
     • If y varies inversely as xn, then when x is multiplied by c, y is divided by cn

3. JOINT VARIATION

   • MAY INVOLVE 3 OR MORE VARIABLES, ALL VARIABLES ARE MULTIPLIED.
     • y=kxcb, y varies jointly as x,c,b

4. COMBINED VARIATION

   • Invloves 3 or more variables, there is one inverse and the rest direct
     • y=kxc/b, y varies directly as x,c and inversely as b

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