Chapter 1.2, Problem 2E

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) $y={\pi }^x$

(b) $y=x^{\pi }$

(c) $y=x^2\left(2-x^3\right)$

(d) $y=\tan t-\cos t$

(e) $y=\frac{s}{1+s}$

(f) $y=\frac{\sqrt{x^3-1}}{1+\sqrt[3]{x}}$