Chapter 1 - Functions - 1.2 Representing Functions - 1.2 Exercises - Page 21: 5

The graph is in the figure below

The function $y=x^5$ is a polynomial function of the fifth degree with only one real zero $x=0$. Further $(-x)^5=-x^5$ so this function is odd. Using these facts and the table $$\begin{array}{|c|c|c|c|c|c|} \hline x & 1& 2& 3\\ \hline y & 1&32&243\\ \hline \end{array}$$ we get the following graph