Final answer:
To find local max and min using a TI-series calculator, input your function navigate to the 'Calc' menu after graphing and select the max or min function. Follow the prompts to set bounds and the calculator will provide you with the coordinates of the local maximum or minimum.
Step-by-step explanation:
To find local maxima and minima using a calculator such as the TI-83, TI-83+ or TI-84+ models, you first need to properly enter the function for which you want to find these values. After graphing the function you'll need to use the calculator's built-in functions to locate the maxima and minima.
- Enter the function into the calculator's graphing mode.
- Use the 'Calc' option which is typically accessed through the 'Trace' button or a similar menu.
- Select the 'maximum' or 'minimum' option from the 'Calc' menu.
- Follow the on-screen prompts to set the left and right bounds around the suspected maximum or minimum point.
- After the calculator processes the data, it will display the coordinates of the local maximum or minimum.
It's important to note that the accuracy of these values is reliant on the data entered and the user's assessment for reliability. While calculators are excellent tools for this kind of analysis, understanding the underlying mathematics can provide additional insight into the behavior of the function.