II. Setting a Window - Finding One That Works

B. Examples

5. Exponential Examples

Make certain you enter the exponential functions correctly.

i) Example 1: Graph the function . ZOOM 4 does not give a good graph, but a look at the table indicates that ZOOM 6 will be a good window to use.

 Enter the function Use ZOOM 4 Use TABLE Use ZOOM 6

ii) Example 2: Graph the function . You can see that ZOOM 4 doesn't show any of the graph, but ZOOM 6 does show the graph. Notice that the domain of the function is X>5/3.

 Enter the function Using ZOOM 4 Using ZOOM 6

iii) Example 3: Graph the function . Instead of using TABLE to find this window, we will use the TRACE feature to determine a proper viewing window. You can see that the Y-values are quite small, so the window will have to reflect that.

 Enter the function. Start with ZOOM 4 and use TRACE to find values. Use these values to set the window. Check negative values. Set the window. Graph the function.

 1. Polynomial 2. Trigonometric 3. Radical 4. Rational 5. Exponential 6. Logarithmic