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Math Help - Polynomial function questions~

  1. #1
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    Polynomial function questions~

    Check if it correct~

    1.Which polynomial function would have the end behaviour of as x-> -∞, y= +inf and as x-> ∞, y-> -∞?

    a) f(x) = -6x^4 - x^5 + 5x^3 - x^2 - 4x + 9

    b)f(x)= 6x^4 + x^5 - 5x^3 + x^2 + 4x - 9

    c)f(x) = 3x^2 + x - 11

    d)-2x^2 + 4x^3 + x - 7
    -----------------------------------

    2. If the leading coefficient of an odd-degree polynomial function is positive, then the function extends from third quadrant to the first quadrant; that is, as

    a) x-> ∞, y-> -∞ and as x-> -∞, y-> ∞

    b) x-> -∞ , y-> ∞ and as x-> ∞ , y-> -∞

    c)x-> -∞ , y-> -∞ and as x-> ∞, y-> ∞

    d) x-> -∞, y-> -∞ and as x-> ∞, y-> -∞
    ----------------------------------

    3. What is the maximum number of turning points that the polynomial function f(x) = 4x^7 + 9x^5 - 3x^4 + 2x^2 - 5?

    a) 0
    b) 2
    c) 3
    d) 6

    The answer is D, 6?

    4. Which equation is a quartic function with zeros at -4, -1, 2, 3?

    a) y=(x-4)(x-1)(x+2)(x+3)
    b) y=(x-2)(x-3)(x+4)(x+1)
    c) y=(x+4)^2(x+1)(x-3)
    d) y=(x+4)^2(x+1)^2(x-2)^2(x-3)^2

    The answer is b, y=(x-2)(x-3)(x+4)(x+1)
    --------------------------------------

    5. Which of the following statements about the function y=a(k(x-d))^n + c is not true?

    a) The value of A represents a vertical stretch/compression.
    b)The value of D represents a horizontal translation
    c) the value of K represents the maximum or minimum of the function.
    d) the value of c represents a vertical translation.

    The answer is C
    -------------------------------------
    6. Describe the transformations that were applied to y= x^3 to create y=(3/4(x+3))^3 - 2.

    a) Horizontally stretched by a factor 4/3, horizontally translated 3 units to the left and vertically translated 2 units down

    b) Horizontally stretched by a factor 4/3, horizontally translated 3 units to the left and vertically translated 2 units down

    c) Horizontally stretched by a factor 3, horizontally translated 4/3 units to the left and vertically translated 2 units down

    d) Horizontally stretched by a factor 3/4, horizontally translated 2 units to the right and vertically translated 3 units up

    The answer is C.

    ----------------------------------------

    7. Determine the x-intercepts of the function y= 4(x+7)^3 - 32.

    a) 2
    b) -5
    c) -5,5
    d) -2,2

    The answer is B, -5.
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  2. #2
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    Re: Polynomial function questions~

    That is quite a list of problems!
    What have you done on any of them?
    Do you understand that this is not a homework service?
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  3. #3
    MHF Contributor
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    Re: Polynomial function questions~

    No more than two questions per post. Show some effort. Thread closed.
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