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Review for Final Exam

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  • What is the end behavior of this function? f(x) = -2(x - 5)(x + 1)^2(x - 3)^2
    As x --> ∞, f(x) --> -∞. As x --> -∞, f(x) --> ∞.
  • What is the end behavior of this function? f(x) = (x - 5)(x - 3)^2
    As x --> ∞, f(x) --> ∞. As x --> -∞, f(x) --> -∞.
  • What are the roots of this function? f(x) = x(x + 7)(x - 5)
    {0, -7, 5}
  • What are the zeros of this function? f(x) = x^2 - x - 42
    {7, -6}
  • 27^(2/3)
    9
  • Write the equation for the axis of symmetry for y = x^2 + 1 .
    x = 0
  • What is the end behavior of this graph?
    As x --> ∞, f(x) --> -∞. As x --> -∞, f(x) --> ∞.
  • Which equation matches the graph? A. y = x^2 + 4x + 3__B. y = x^2 - 5x + 3 C. y = x^2 + 3__D. y = x^2 + 5x + 3
    A. y = x^2 + 4x + 3
  • Simplify 16^(-1/4)
    1/2
  • 1,000^(2/3)
    100
  • (-8i)(-2i)
    -16
  • What are the x-intercepts of this function? f(x) = x(x + 7)(x - 5)
    {0, -7, 5}
  • Write the equation for the axis of symmetry for y = x^2 + 5x + 1
    x = -5/2
  • Which function has the same y-intercept as the one in the graph?_ A. y = x^2 - 3x + 2__B. y = -2x^2 + 11x - 8 C. y = 4x^2 + 5x - 9__D. y = -x^2 + 6x - 4
    D. y = -x^2 + 6x - 4
  • What is the y-intercept for y = -5x^2 + 14x - 47
    (0, -47)
  • Which equation matches the graph? A. y = x^2 + 4x + 3__B. y = x^2 - 5x + 3 C. y = x^2 + 3__D. y = x^2 + 5x + 3
    B. y = x^2 - 5x + 3
  • What is the y-intercept for y = x^2 - 19x + 3
    (0, 3)
  • Solve by factoring. x^2 - 16x + 48 = 0
    {4, 12}
  • What are the factors of this function?
    (x + 3)(x - 5)
  • (3i)(-11i)
    33
  • What is the end behavior of this function? f(x) = 6x^4 - 11x^8 + x - 4
    As x --> ∞, f(x) --> -∞. As x --> -∞, f(x) --> -∞.
  • Which function has the same y-intercept as the one in the graph? __ A. y = x^2 - 3x + 2__B. y = -2x^2 + 11x - 1 C. y = 4x^2 + 5x - 9__D. y = -x^2 + 6x - 4
    B. y = -2x^2 + 11x - 1
  • Simplify 16^(1/4)
    2
  • What is the end behavior of this function? f(x) = 6x^4 - 11x^3 + x - 4
    As x --> ∞, f(x) --> ∞. As x --> -∞, f(x) --> ∞.
  • What are the factors of this function?
    x (x + 3)(x + 6)