Single Variable Calculus, Chapter 1, 1.2, Section 1.2, Problem 2

Identify each function whether it is a power function, root function, polynomial(state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

$\begin{equation} \begin{aligned} (a.) \displaystyle y = \frac{x - 6}{x + 6} \end{aligned} \end{equation}$



$\boxed {\text{The given function is a rational function}}$



(b.) $\displaystyle y = x + \frac{x^2}{\sqrt{x - 1}}$



$\boxed {\text{The given function is an algebraic function}}$


(c.) $\displaystyle y = 10^x$



$\boxed {\text{The given function is an exponential function}}$



(d.) $\displaystyle y = x^{10}$

$\boxed {\text{The given function is a power function}}$



(e.) $\displaystyle y = 2t^6 + t^4 - \pi$


$\boxed {\text{The given function is a polynomial function with the degree of 6} }$


(f.) $\displaystyle y = \cos \theta + \sin \theta$



$\boxed {\text{The given function is a trigonometric function}}$