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. Yes, the inability to divide by 0 has no bearing on this problem.
    C. Yes, it is continuous at x = 1, but not at x = -1. D. None is correct.
    Hint

  2.   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

  3.   Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1
    A. f(x) as x , f(x) as x
    B. f(x) as x , f(x) as x
    C. f(x) as x , f(x) as x
    D. f(x) as x , f(x) as x
    Hint

  4.   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 x < 0 and x > 0
    B. increasing for all x
    C. increasing for x < 0 and decreasing for x > 0
    D. decreasing for all x
    Hint

  5.   Determine the intervals on which the function f(x) = is increasing and the intervals on which the function is decreasing.
    A. increasing for x < -1 and decreasing for x > -1
    B. increasing for x < -1 and x > -1
    C. increasing for all x
    D. decreasing for x < -1 and increasing for x > -1
    Hint