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Finding the Maximum and Minimum Values of a Function

To find the maximum value of a function using the calculator first type in the equation in Y1=, then press GRAPH, then press 2nd TRACE, then press 4: maximum, then use the arrows until the dot moves to the highest point on the graph, then press ENTER once to the left of the highest point and then once to the right of it then press enter in the middle and you will get the maximum value.

The relative maximum is the highest point in the shown section of the graph. The relative minimum is the lowest point in the shown section of the graph.

The absolute maximum is the highest point on the graph and the absolute minimum is the lowest point on the graph.

 

 

 

Text Box: Absolute Minimum

 

Text Box: Relative Maximum

 

Text Box: Relative Maximum

 

Text Box: Relative Minimum

Text Box: Relative Maximum

 

 

 

 

 

 

Text Box: Relative Minimum

 

A 4th degree equation that has an absolute maximum:

An odd function cannot have an absolute maximum or minimum because it keeps on going in both directions.