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Quadratic function
f(x)=ax²+bx+c
Quadratic function

Linear function
f(x)=ax+b
Linear function

Power function
f(x)=axb
Power function (if b>0)

Power function (if b<0)

Direct variation function
f(x)=ax
Direct variation function

Inverse variation function
f(x)=a/xn
Inverse variation function

Rational algebraic function

Exponential function

Direct variation function must go through the origin.
Direct variation function vs linear function?
Exponential function
f(x)=a x bx
Rational algebraic function
f(x)=n(x)/d(x)