Variation Functions

Variation Functions

1. Direct Variation

   • y=kx
     • • lines
     • Domain and Range: All set of real numbers
   • y=kx^2
     • • Parabolas
     • Domain: al set of real numbers. Range:{y: y ≥ 0} and {y: y ≤ 0}

2. Inverse Variation

   • y=k/x
     • • Hyperbolas
     • Domain and Ran } ge: {x| x ≠ 0
     • Asymptotes: X and Y Axis
   • y=k/x^2
     • • inverse square curves
     • Domain: {x: x ≠ 0} Range: {y: y > 0} or {y: y < 0}
     • Asymptotes: X and y axis

3. Combined Variation

   • y=kx/z
   • y varies directly as x and inversely as z

4. Joint Variation

   • y=kxz
   • Y varies jointly as x and z

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