1.   State the domain and the range of the relation {(1, 2), (-4, 2), and
(3, 5)}. Then state whether the relation is a function.
    A. The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. B. The domain is {-4, 1, 3},
the range is {2, 5}, and the relation is a function.
    C. The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. D. The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function.
    Hint

  2.   State the domain of the function
    A. all real numbers except
0 and 3
B. all real numbers except 0
    C. all real numbers except 3 D. all real numbers except
0, 1, and 3
    Hint

  3.   If you use the substitution method to solve the system of equations
3x - 2y = 4 and x + y = 5, which of the following would be the best method?

Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.

Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.

    A. Neither Method I nor Method II is correct. B. Method II
    C. Method I D. Both Method I and Method II are correct.
    Hint

  4.  
    A. B.
    C. D.
    Hint

  5.   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'(7, -2), B'(3, 1), C'(1, -4) B. A'(2, 7), B'(-1, 3), C'(4, 1)
    C. A'(-7, -2), B'(-3, 1),
C'(-1, -4)
D. A'(7, -2), B'(-1, 3),
C'(-1, -4)
    Hint

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

  7.   What are the vertices of the triangle formed?
   
    A. (100, 400), (400, 500), and (800, 100)
    B. (100, 400), (500, 400), and (800, 100)
    C. (100, 400), (500, 400), and (100, 800)
    D. (100, 400), (400, 500), and (100, 800)
    Hint

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

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

  10.   Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2.
    A. Yes, because the function is defined at x = 2. B. Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2.
    C. None of these are correct. D. Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2.
    Hint

  11.   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 > 2, and the function is
decreasing for x < 2.
    B. The function is increasing for x > 3, and the function is
decreasing for x < 3.
    C. The function is decreasing for x > 0, and the function is
increasing for x < 0.
    D. The function is increasing for x > -1, and the function is
decreasing for x < -1.
    Hint

  12.   State the domain and range of the relation. Then state whether the relation is a function.{(2,-1), (-2,4), (2,5), (3,6)}
    A. Domain {-1,4,5,6}Range {-2,2,3}The relation is a function.
    B. Domain {-2,2,3} Range {-1,4,5,6}The relation is not a function.
    C. Domain {-1,4,5,6}Range {-2,2,3} The relation is not a function.
    D. Domain {-2,2,3} Range {-1,4,5,6} The relation is a function.
    Hint

  13.   Find the x- and y-intercepts of the equation:
    A. x-intercept 5; y-intercept -2 B. x-intercept 5; y-intercept 2
    C. x-intercept 2; y intercept 5 D. x-intercept 2; y-intercept 5
    Hint

  14.   Use two ordered pairs to write the equation of a best-fit line.
   
    A. y = 5x B. y = 3x + 72
    C. y = 3x D. y = 5x + 75
    Hint

  15.   Which of the following describes the system of equations

x - 3y + 2 = 0 and
2x - 6y + 4 = 0?

    A. none of these B. Consistent and dependent
    C. Consistent and independent D. Inconsistent
    Hint

  16.  
    A. impossible B.
    C. D.
    Hint

  17.   The image of after Rot180 Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)?
    A. none of these B. reflection over the x-axis
    C. reflection over the line y = x D. reflection over the y-axis
    Hint

  18.   Given the function f(x) = , is the inverse a function? How do you know?
    A. No, this function fails the horizontal line test. B. Yes, this function passes the vertical line test.
    C. Yes, this function fails the horizontal line test. D. No, this function passes the horizontal line test.
    Hint

  19.   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 all x
    C. increasing for x < 0 and decreasing for x > 0
    D. decreasing for all 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. extremum
    C. point of inflection
    D. minimum
    Hint