Final answer:
Graphing the function y = 110 tan(2x) on a TI-83 or similar calculator involves setting the calculator to degree mode, inputting the function, adjusting window settings for best viewing, and graphing the function, while noting that labels and scale should be manually adjusted to display important features of the function.
Step-by-step explanation:
To graph the function y = 110 tan(2x) on a graphing calculator such as the TI-83, 83+, 84, 84+, you would follow several steps. Make sure to set the mode to degrees since the interval is given in degrees. Here is a step-by-step explanation:
- Turn on the calculator and press the 'MODE' button to select the angle measurement in degrees.
- Press the 'Y=' button and enter the function 110tan(2X) into one of the function lines.
- Press the 'WINDOW' button and set the Xmin and Xmax values to correspond with the given interval; for example, set Xmin to 0 and Xmax to say, 360, to cover one full periodic cycle of the tan function.
- For the Y values (Ymin and Ymax), set a range that will appropriately display the function's values. This may require some trial and error; begin with Ymin at -10 and Ymax at 10 and adjust as necessary.
- Press the 'GRAPH' button to display the graph of the function.
- To label the graph, you would need additional software as most graphing calculators do not have this feature. Hand label the graph if possible after printing or sketching it.
- Ensure you include important features such as asymptotes, which occur at the values where the tangent function is undefined (e.g., 90°, 270°, etc.).
The graph's scale for both axes should be chosen based on the maximum and minimum values you expect to see from the function. The graph of y = 110 tan(2x) will have asymptotes and peaks that correspond to the period and amplitude of the tangent function.