Suppose we want to compute the relative(local) maximum for the function .
Here is the graph of this polynomial. For this graph I used X-min = - 5, X-max = 7, Y-min = -75, and Y-Max = 75
Method 1: Using the command fMax
They syntax for this command is: fMax(function,X,left bound, right bound)
This command will return the x-value of the point where the function has a maximum.
WARNING: This command is equivalent to asking where the absolute maximum is located on the given interval. Randomly picking the left bound and right bound will tend to give you an incorrect answer.
From the home screen do the following.
Using the example from above with the interval x=0 to x=3 should now display the following. Note: The interval was found using the graph of the function given above.
Now to find the actual maximum value, evaluate the function at x=1.
Method 2: Using a Graphing Screen
X-min = - 5, X-max = 7, Y-min = - 75, and Y-Max = 75
This is what you should see. I used x=0 for the left bound.
This is what you should see. I used x=3 for the left bound.
The calculator should now display the following.
Thus the relative maximum for the function is 17 and it occurs at x=1.