

1. 
Determine whether the function f(x) = is continuous at x = 1. 


A. 
No, because substituting x = 1 results in a denominator of 0. 
B. 
None is correct. 


C. 
Yes, it is continuous at x = 1, but not at x = 1. 
D. 
Yes, the inability to divide by 0 has no bearing on this problem. 


Hint 


2. 
When is the function f(x) = continuous at x = 2? 


A. 
never 
B. 
always 


C. 
not enough information is given 
D. 
sometimes 


Hint 


3. 
Describe the end behavior of f(x) = x^{2} + 1. 


A. 
As x , f(x) , and as x , f(x) . 


B. 
As x ,f(x) , and as x , f(x) . 


C. 
none of these 


D. 
As x , f(x) , and as x , f(x) . 


Hint 


4. 
Describe the end behavior of this function:



A. 
y 3 as x , y 3 as x 


B. 
y 0 as x , y 0 as x 


C. 
y as x , y as x 


D. 
y 2 as x , y 2 as x 


Hint 


5. 
Determine the intervals on which the function f(x) = x^{3} + x^{2} + x is increasing and the intervals on which the function is decreasing. 


A. 
increasing for all x 


B. 
increasing for x < 0 and x > 0 


C. 
decreasing for all x 


D. 
increasing for x < 0 and decreasing for x > 0 


Hint 

