1.   Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2.
    A. Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. B. None of these are correct.
    C. Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2.
D. Yes, because the function is defined at x = 2.
    Hint

  2.   Determine whether the function f(x) = is continuous at x = 1.
    A. None is correct. B. No, because substituting
x = 1 results in a denominator of 0.
    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

  3.   When is the function f(x) =
continuous at x = 2?
    A. not enough information is given B. sometimes
    C. always D. never
    Hint

  4.   Describe the end behavior of f(x) = x2 + 1.
    A. none of these
    B. As x , f(x) ,
and as x , f(x) .
    C. As x ,f(x) ,
and as x , f(x) .
    D. As x , f(x) ,
and as x , f(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



Glencoe
The McGraw-Hill Companies