Steps 
Key Sequence 
Screens 
1. Input Function or PiecewiseDefined Function. 
Press DIAMOND key, then F1 key (for Y=) 


Type the function 

Method 1: Using home screen. This method finds the largest local maximum (not
necessarily a global maximum!). 
2. Go to Home screen 
Press 2^{nd}, then ESC 

3. Select fMax function 
Press F3 


Press 7 (for fMax() 

4. Type in Function 


Note: You can either type in the function directly
(e.g., 5 – 2x^{2} + x^{3}) OR, if you followed
step 1 above, use y1(x) 
4. Type in Independent Variable 
Press comma key, then x, then right parenthesis 

Note: This will find the maximum of the function on the whole
domain of the function. If this is the value for which you are looking, then goto Step 8.
If you want to limit the domain of the function to a specific closed interval then goto the next step. 
5. Type in First Restriction (i.e., left endpoint) 
Press  key 


Type X key 


Press 2^{nd}, then 5 (for MATH menu) 


Press 8 (for Test submenu) 


Press 3 (for >=) 


Type in value for endpoint 

6. Type in and function 
Press CATALOG key 

Note: You will need to scroll using up or down arrow keys to find 'and'.
To quickly move to the 'a' functions, press = key. 

ENTER (to select 'and') 

7. Type in Second Restriction (i.e., right endpoint) 
Type X key 


Press 2^{nd}, then 5 (for MATH menu) 


Press 8 (for Test submenu) 


Press 4 (for <=) 


Type in value for endpoint 

8. Solve 
ENTER 

Note: If this returns an equation, then press DIAMOND key, then ENTER! 


Method 2: Using grapher. 
Follow Step 1 above 


2. Graph 
Press DIAMOND key, then F3 key 

3. Find Maximum Point 
Press F5 


Press 4 (for Maximum) 


Type in xvalue for a point to the left of a suspected local maximum point or trace function until you reach the value for x 

IMPORTANT Note: The minimum point will be the smallest yvalue in the interval
between the lower bound and upper bound. 

Press ENTER 


Type in xvalue for a point to the right of a suspected local maximum point or trace function until you reach the value for x 


Press ENTER 

Note: In this case, the maximum of the function on [–1, 2] is 5 and occurs at x = 0. 