Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

(a) f (x) = x³ + x²

(b) g(t) = cos²t  sin t
(c) r (t) = t^√3

(d) v(t) = 8^t
(e) y = √x/x² + 1

(f ) g(u) = log₁₀ u