II. Setting a Window - Finding One That Works

B. Examples

6.Logarithmic Function Examples

Logarithmic functions will usually have a vertical asymptote, and the domain must be considered.

i) Example 1: Graph the function . There will be a vertical asymptote at x=-3, and the domain is . Therefore, you will not be concerned with values of x less than -3. Consider this when you determine a window. It appears that the graph just stops, but it does not. The reason it has this appearance is because of the pixels.

 Enter the function. Use ZDECM.

ii) Example 2: Graph the function . Since the domain is all real numbers, there is no vertical asymptote and ZSTD is a good window.

 Enter the function. Use ZSTD.

iii) Example 3: Graph the function . To enter this function you must use the Change of Base Formula. There will be a vertical asymptote of x=2. Use the table to find values, and set the window shown.

 Enter the function. Set the window. Graph.
 1. Polynomial 2. Trigonometric 3. Radical 4. Rational 5. Exponential 6. Logarithmic