\begin{frame} \frametitle{Exercises} \begin{exampleblock}{} Classify the following functions as one of the types that we have discussed: \begin{enumerate} \item $f(x) = 5^x$ \pause\quad is an exponential function \pause \item $g(x) = x^5$ \pause\quad is a power function, a polynomial of degree $5$, a rational function and an algebraic function. \pause \item $h(x) = \frac{1+x}{1-\sqrt{x}}$ \pause\quad is an algebraic function. \pause \item $u(t) = 1-t+5t^4$ \pause\quad is a polynomial of degree $4$, a rational function and an algebraic function. \pause \item $v(x) = x^{-3}$ \pause\quad is a power function, a rational function and an algebraic function. \pause \item $p(x) = x^{-\frac{1}{3}}$ \pause\quad is a power function, and an algebraic function. \pause \item $z(x) = \frac{1+x}{3+x^2}$ \pause\quad is a rational function, and algebraic function. \end{enumerate} \end{exampleblock} \end{frame}