Functions

Equation Name Example
y = mx + b Linear y = 3x
y = abx Exponential y = 3x
y = ax2 + bx + c Quadratic y = 3x2 + 3x
y = kx Direct Variation y = 3x
y = kx-1 (or k/x) Inverse Variation y = 3/x
y = ax3 + bx2 + cx + d Cubic y = 3x3 + 3x
y = a/(x - b) + c Reciprocal y = 3/x - 3
y = a logb(x) Logarithmic y = log3(x)
y = anxn + anxn + ... + a1x + a0 Polynomial y = 5x4 - 3x3 + x2 - 7x + 6
y = f(x)/g(x) Rational y = x3 - 3x + 3/x8 - 3
y = a sin(bx + c) + d Sinusoidal y = sin(2x)
y = a cos(bx + c) + d Sinusoidal y = cos(2x)
y = nax - b + c Radical y = 3x + 4
y = | ax - b | + c Absolute Value/Piecewise y = | x + 1 |