  ### Home > CCA2 > Chapter Ch1 > Lesson 1.2.2 > Problem1-92

1-92.

Create multiple representations ($x→y$ table, graph, and equation) of the function $g(x)=\frac{2}{x}$. Then make at least 3 summary statements.

What happens to the value of $y$ when you let $x=0$ in the equation? Use that information to help you describe the domain. Where do you see this on the graph? How does it appear in the table? Describe.

Is there any number that cannot be an output? Think about this in terms of the equation. Use that information to help you describe the range. How do you see this on the graph? How does it appear in the table? Describe.

Does this graph have $x$- or $y$-intercepts? Why? Discuss this in terms of the equation, the graph, and the table.

What can you say about symmetry? Do you see it in the table? On the graph? In the equation?

Make sure to justify your summary statements using multiple representations.

$\left. \begin{array} { c | c } { x } & { y } \\ \hline - 3 & { - \frac { 2 } { 3 } } \\ { - 2 } & { - 1 } \\ { - 1 } & { - 2 } \\ { - 0.5 } & { - 4 } \\ { 0 } & { \text{undefined} } \\ { 0.5 } & { 4 } \\ { 1 } & { 2 } \\ {2} & { 1 } \\ { 3 } & {\frac{2}{3} } \end{array} \right.$

Use the eTool below to create multiple representations of the function.
Click the link at right for the full version of the eTool: CCA1 1-92 HW eTool