1.   Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x).
    A. x2 - 2x - 1 B. x2 - 2x + 1
    C. x2 + 2x D. x2 - 2x + 2
    Hint

  2.   Find (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3.
    A. 12x2 - 36x + 28 B. 6x2 + 5
    C. 6x2 - 5 D. 12x2 + 36x + 28
    Hint

  3.   Rewrite the equation 3x + y = 7 in slope-intercept form.
    A. y = -3x - 7 B. y = 7x + 3
    C. y = -3x + 7 D. y = 3x - 7
    Hint

  4.   Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope.
   
    A. Mary improved her free throw performance from year-to-year by an average of about 25%. B. Mary improved her free throw performance from year-to-year by an average of about 15%
    C. Mary improved her free throw performance from year-to-year by an average of about 10%. D. Mary improved her free throw performance from year-to-year by an average of about 20%
    Hint

  5.  
    A. B.
    C. D.
    Hint

  6.   Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation.
    A. A'(-1, 2), B'(-5, 3), C'(-2, 6) B. A'(1, -2), B'(5, -3), C'(2, -6)
    C. A'(-2, -1), B'(-3, -5),
C'(-6, -2)
D. A'(1, -2), B'(-5, 3), C'(-2, 6)
    Hint

  7.   If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let
x = units of lumber, and y = units of plywood.
    A.
    B.
    C.
    D.
    Hint

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

  9.   Solve |x - 1| - 8 < 3.
    A. {x | 5 < x < 10} B. {x | -10 < x < 12}
    C. {x | -8 < x < 10} D. {x | -4 < x < 3}
    Hint

  10.   Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema.
    A. relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62)
B. relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62)
    C. relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62)
D. relative minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62)
    Hint

  11.   Find a linear equation that can be used as a model for the data shown.
   
    A. B.
    C. D.
    Hint

  12.   Which is the graph of the inequality 2x + y + 3 >0?
    A. B.
    C. D.
    Hint

  13.   Which is an odd function?
    A. B.
    C. D.
    Hint

  14.   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

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

  16.   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 x > -1
    B. decreasing for x < -1 and increasing for x > -1
    C. increasing for all x
    D. increasing for x < -1 and decreasing for x > -1
    Hint

  17.   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 relative maximum of this function.
    B. (3,4) is the absolute minimum of this function.
    C. (3,4) is the point of inflection.
    D. (3,4) is the absolute maximum of this function.
    Hint

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

  19.   Graph the function
    A. B.
    C. D.
    Hint

  20.   If y varies directly as the square root of x and x = 25 when y = -15, find x
when y = -108.
    A. x = 4500 B. x = 6
    C. x = 1500 D. x = -5
    Hint