How do I graph the rational function #f(x)=1/(x-2)# on a graphing calculator?

Question

Lily Anderson · Accepted Answer

You need parentheses to create the fraction. With Texas Instrument Graphing Calculators, you want to go to the Y= button (Top left hand key), there you want to enter y=1/(x-2). You do not need f(x) since it represents y. Also pay attention to your window setting, the standard window does work (-10#<=#x#<=#10 and -10#<=#y#<=#10).

Madelyn Anderson · Answer

undefined To graph the rational function $ f(x) = \frac{1}{x - 2} $ on a graphing calculator:

1. Turn on your graphing calculator and enter the function into the calculator.
2. Use the graphing feature to display the function on the screen.
3. Adjust the viewing window if necessary to see the entire graph.
4. Look for any vertical asymptotes, which occur at the values of $ x $ that make the denominator zero. In this case, there is a vertical asymptote at $ x = 2 $.
5. Identify any other important features such as intercepts or points of interest.
6. Once you have a clear view of the graph, you can analyze its behavior and characteristics.
7. You may also want to trace along the graph to observe the function's behavior at different points.