1.   Determine the symmetry of the graph of xy = -4.
    A. the line y = -x B. the line y = x and
the line y = -x
    C. none is correct D. the line y = x
    Hint

  2.   Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related.
    A. None are true. B. The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes.
    C. The graph of g(x) is a reflection of the graph of f(x) over the y-axis. D. The graph of g(x) is a reflection of the graph of f(x) over the x-axis.
    Hint

  3.   If you use the parent graph y = x2 as a reference, describe how you would
graph y = -x2 - 3.
    A. Reflect the parent graph over the y-axis and then move the graph down 3 units. B. Reflect the parent graph over the y-axis and then move the graph to the left 3 units.
    C. Reflect the parent graph over the x-axis and then move the graph up 3 units. D. Reflect the parent graph over the x-axis and then move the graph down 3 units.
    Hint

  4.   Which point is one of an infinite number of solutions for the inequality
y > (x + 2)2 - 4?
    A. (1, 5) B. (2, 12)
    C. (-1, 5) D. (3, 4)
    Hint

  5.   A family has a monthly net pay N which is 70% of their gross monthly pay G. They decided to subtract their monthly food allowance of $350 from their monthly net pay and invest 5% of the remainder. Write an equation for the investment each month I, given the above restrictions.
    A. I = 0.95(0.3G - 350) B. I = 0.05(0.7G - 350)
    C. I = 0.95(0.7G - 350) D. I = 0.05(0.3G - 350)
    Hint

  6.   Suppose I = 0.05(0.6G - 400), where G = the gross monthly pay and
I = the amount of the investment. Determine the equation which represents the inverse process.
    A. G = B. G =
    C. G = D. G =
    Hint

  7.   Determine whether the function f(x) = is continuous at x = 1.
    A. Yes, it is continuous at x = 1, but not at x = -1. B. No, because substituting
x = 1 results in a denominator of 0.
    C. None is correct. D. Yes, the inability to divide by 0 has no bearing on this problem.
    Hint

  8.   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 decreasing for x > 0, and the function is
increasing for x < 0.
    B. The function is increasing for x > 2, and the function is
decreasing for x < 2.
    C. The function is increasing for x > 3, and the function is
decreasing for x < 3.
    D. The function is increasing for x > -1, and the function is
decreasing for x < -1.
    Hint

  9.   Use the graphing calculator f(x) = x3 + x2 - x, and
locate the relative maximum point.
    A. (-1, 0.833) B. (0.5, -0.292)
    C. There is no relative maximum point. D. (0, 0)
    Hint

  10.   If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5.
    A. 100 B. 40
    C. 45 D. 125
    Hint

  11.   Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation.
    A. k = and y = 13 · 7x B. k = and y = x
    C. k = and y = x D. k = and y = 13 · 7x
    Hint

  12.   The equation f(-x) = -f(x) is true for which statement?
    A. both odd functions and relations symmetrical about the origin B. only functions with point symmetry
    C. only odd functions D. only even functions
    Hint

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

  14.   Locate the extrema for the graph y = f(x).
   
    A. There is an inflection point at (2,2)
    B. There is a relative minimum at (4,4) and a relative maximum at (0,0)
    C. There is an absolute maximum at (4,4) and an absolute minimum at (0,0)
    D. There is a relative maximum at (4,4) and a relative minimum at (0,0)
    Hint

  15.   Use the parent graph f(x) = to graph the function g(x) = .
    A. B.
    C. D.
    Hint

  16.   Determine the slant asymptote for f(x) = .
    A. y = -x + 3 B. y = 4
    C. y = x + 4 D. y = x + 3
    Hint



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