Answer
The general form of each is as follows,
Linear: $f(x) = ax+b$
Power: $f(x) = x^n$
Exponential: $f(x) = b^x$
Quadratic function: $f(x) = ax^2+bx+c$
Polynomial of degree 5: $f(x) = ax^5 +bx^4+cx^3+dx^2+ex+f$
Rational function: $f(x) = P(x)/Q(x)$ where both $P(x)$ and $Q(x)$ are polynomials.
Work Step by Step
Examples are:
a) $f(x) = 4x+2$
b) $f(x) = x^{5.3}$
c) $f(x) =3^x $
d)$f(x) = 2x^2+2$
e) $f(x) = 27x^5 - 2x+1$
f) $f(x) =\frac{x^2-1}{x+3}$
