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) = x2 + 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) = x3 + x2 + 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