

1. 
Determine whether the function f(x) = 2x^{2}  x + 2 is continuous at x = 2. 


A. 
Yes, because the function is defined at x = 2. 
B. 
None of these are correct. 


C. 
Yes, because the function approaches the same yvalue 8 on the left and right sides of x = 2. 
D. 
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. 


Hint 


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


A. 
always 
B. 
never 


C. 
not enough information is given 
D. 
sometimes 


Hint 


3. 
Determine the type of discontinuity this function exhibits.



A. 
jump discontinuity 
B. 
point discontinuity 


C. 
infinite discontinuity 
D. 
none of these 


Hint 


4. 
Describe the end behavior of this function:



A. 
y 0 as x , y 0 as x 


B. 
y 3 as x , y 3 as x 


C. 
y 2 as x , y 2 as x 


D. 
y as x , y 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 decreasing for x > 0 


C. 
increasing for x < 0 and x > 0 


D. 
decreasing for all x 


Hint 

