1.   The graph |y| = 4 - |2x| is symmetric with respect to __________.
    A. neither the x-axis nor
the y-axis
B. the y-axis
    C. both the x-axis and
the y-axis
D. the x-axis
    Hint

  2.   Sketch the graph of the function f(x) = |x2 - 6|.
    A.
    B.
    C.
    D.
    Hint

  3.   Which is the graph of f(x) = |x| - 4 and its inverse?
    A. B.
    C. D.
    Hint

  4.   Determine the asymptotes for the graph of f(x) = .
    A. a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 B. a vertical asymptote at x = 3 and a horizontal asymptote at y = 2
    C. none of these D. a horizontal asymptote at
x = 3 and a vertical asymptote at y = 2
    Hint

  5.   Complete the graph so it is symmetric about the origin.
   
    A. B.
    C. D.
    Hint

  6.   Sketch the graph of the function f(x) = (x + 1)3 + 2.
    A. B.
    C. D.
    Hint

  7.   Which is the graph of y ?
    A. B.
    C. D.
    Hint

  8.   Solve |3x + 5| - 4 < 2.
    A. B.
    C. D.
    Hint

  9.   Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know?
    A. No, fails the horizontal line test. B. Yes, fails the horizontal line test.
    C. Yes, passes the vertical line test. D. No, fails the vertical line test.
    Hint

  10.   Describe the end behavior of this function:
    A. y as x , y as x
    B. y 3 as x , y 3 as x
    C. y -2 as x , y -2 as x
    D. y 0 as x , y 0 as x
    Hint

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

  12.   The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point.
    A. (3,4) is the absolute maximum of this function.
    B. (3,4) is the absolute minimum of this function.
    C. (3,4) is the relative maximum of this function.
    D. (3,4) is the point of inflection.
    Hint

  13.   The function f(x) = - (x + 2)3 - 3 has a critical point at x = -2. Determine whether this is the location of a maximum, minimum or a point of inflection.
    A. maximum
    B. extremum
    C. minimum
    D. point of inflection
    Hint

  14.   Determine the equation of the horizontal asymptote for the function:
f(x) = + 2.
    A. y = 2 B. y = 0
    C. y = -2 D. x = 0
    Hint

  15.   If y varies inversely as the cube of x and y = 8 when x = 2, find
x when y = 1.
    A. x = 4 B. x = 8
    C. x = 1 D. x = 2
    Hint

  16.   Dakota wants to cook a meal for his family. He knows that the more people who help, the less time it will take to prepare the food. Write an equation that represents this situation. Let C be the cooks in the kitchen, T be the time and k as the constant of variation.
    A. C = kT B. k = CT
    C. T = kC D. k = CT
    Hint



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