

1. 
Locate the extrema for the graph of y = f(x). 





A. 
The extrema are (2, 1), (1, 1) and (4, 3). 
B. 
The extrema are (2, 1) and (4, 3). 


C. 
The extrema are (1, 1) and (4, 3). 
D. 
The extrema are (2, 1) and (1, 1). 


Hint 


2. 
Use the graphing calculator f(x) = x^{3} + x^{2}  x, and locate the relative maximum point. 


A. 
(0.5, 0.292) 
B. 
There is no relative maximum point. 


C. 
(0, 0) 
D. 
(1, 0.833) 


Hint 


3. 
Locate the extrema for the graph y = f(x). 





A. 
There is a relative minimum at (4,4) and a relative maximum at (0,0) 


B. 
There is an inflection point at (2,2) 


C. 
There is an absolute maximum at (4,4) and an absolute minimum at (0,0) 


D. 
There is a relative maximum at (4,4) and a relative minimum at (0,0) 


Hint 


4. 
The function f(x) = x  4 + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection. 


A. 
There is a maximum at (4,2) 


B. 
There is a minimum at (4,2) 


C. 
There is a point of inflection at (4,2) 


D. 
none of these 


Hint 


5. 
The function f(x) = (x  3)^{2} + 4 has a critical point at x = 3. Determine and classify this point. 


A. 
(3,4) is the point of inflection. 


B. 
(3,4) is the relative maximum of this function. 


C. 
(3,4) is the absolute maximum of this function. 


D. 
(3,4) is the absolute minimum of this function. 


Hint 

