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. Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2.
    C. Yes, because the function is defined at x = 2. D. None of these are 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.   Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing.
    A. The function is increasing for x > 3, and the function is
decreasing for x < 3.
    B. The function is increasing for x > -1, and the function is
decreasing for x < -1.
    C. The function is decreasing for x > 0, and the function is
increasing for x < 0.
    D. The function is increasing for x > 2, and the function is
decreasing for x < 2.
    Hint

  4.   Determine the type of discontinuity this function exhibits.
    A. none of these B. jump discontinuity
    C. point discontinuity D. infinite discontinuity
    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 x < 0 and x > 0
    B. increasing for x < 0 and decreasing for x > 0
    C. increasing for all x
    D. decreasing for all x
    Hint



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