Answer
(a) algebraic function.
(b) exponential function.
(c) algebraic function.
(d) polynomial function with degree $4$.
(e) root function.
(f) algebraic function.
Work Step by Step
(a) This is a polynomial function divided by another polynomial function, so this is an algebraic function.
(b) Here, we have a value raised to a variable power, so this is an exponential function.
(c) Here, we have a polynomial expression inside a square root. Therefore, this is an algebraic function.
(d) This is a polynomial function with degree $4$.
(e) Here, we have a cube root of a variable, so this is a root function.
(f) This is a polynomial function divided by another polynomial function, so this is an algebraic function.