Answer
(a) polynomial function with degree $3$.
(b) trigonometric function.
(c) power function.
(d) exponential function.
(e) algebraic function.
(f) logarithmic function.
Work Step by Step
(a) This is a polynomial with degree $3$, which means it is also an algebraic function.
(b) Here, we have a combination of cosine and sine functions. Therefore, it is a trigonometric function.
(c) Here, we have t to the power of $\sqrt{3}$, which means it is a power function.
(d) Here, we have a value raised to a variable power, so this is an exponential function.
(e) This is an algebraic combination of a root and polynomial function. Therefore, it is an algebraic function.
(f) This is a logarithmic function with base $10$.