Chapter 1.2, Problem 2E

a.

To determine

To classify: the function $y={\pi }^x$ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

b.

To determine

To classify: the function $y=x^{\pi }$ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

c.

To determine

To classify: the function $y=x^2\left(2-x^3\right)$ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

d.

To determine

To classify: the function $y=\tan t-\cos t$ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

e.

To determine

To classify: the function $y=\frac{s}{1+s}$ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

f.

To determine

To classify: the function $y=\frac{\sqrt{x^3-1}}{1+\sqrt[3]{x}}$ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.