1.   State the domain of the function
    A. all real numbers except
0 and 3
B. all real numbers except 3
    C. all real numbers except 0 D. all real numbers except
0, 1, and 3
    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.   State the domain of (x) for f(x) = and g(x) =
    A. B.
    C. D.
    Hint

  4.   Which is the best prediction equation for the data?
   
    A. y = 10x - 19,950 B. y = 5x - 19,950
    C. y = 20x - 19,950 D. y = 25x - 19,950
    Hint

  5.   Which is the graph of the inequality y |x - 3|?
    A. B.
    C. D.
    Hint

  6.   The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions.
   
    A. All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers.
    B. All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers.
    C. All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers.
    D. All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers.
    Hint

  7.   Three planes can
    A. intersect at one point. B. intersect in a line.
    C. have no points in common. D. All of the choices are true.
    Hint

  8.   Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle.
    A. B.
    C. D.
    Hint

  9.   Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis.
    A. A'(2, 7), B'(-1, 3), C'(4, 1) B. A'(-7, -2), B'(-3, 1),
C'(-1, -4)
    C. A'(7, -2), B'(-1, 3),
C'(-1, -4)
D. A'(7, -2), B'(3, 1), C'(1, -4)
    Hint

  10.   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'(-1, 2), B'(-5, 3), C'(-2, 6) D. A'(-2, -1), B'(-3, -5),
C'(-6, -2)
    Hint

  11.   Which of the following shows the system of equations using a matrix equation?
   
    A. B.
    C. D.
    Hint

  12.   Which is an even function?
    A. y = x2 B. y = 2x - 1
    C. y = -x D. y = x
    Hint

  13.   Which is the graph of y x3 + 1?
    A. B.
    C. D.
    Hint

  14.   Solve |x + 4| > 2.
    A. -6 < x < -2 B. x < -6
    C. x > -6 or x < -2 D. x < -6 or x > -2
    Hint

  15.   Graph y = 1 + .
    A. B.
    C. D.
    Hint

  16.   Find the inverse of .
    A. B. does not exist
    C. 0 D.
    Hint

  17.   Find the inverse of .
    A. B.
    C. D.
    Hint

  18.   Find the minimum value of f(x, y) = x - 4y for the system of inequalities.
2x + y 3
2x + y -2
y 4
x < 1
    A. 16 B. -16
    C. -3 D. -17
    Hint

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

  20.   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. minimum
    C. extremum
    D. point of inflection
    Hint



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