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7 March, 20:12

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3

Which of the following functions best represents the graph?

f (x) = (x + 3) (x - 3) (x - 9)

f (x) = (x + 3) (x - 3) (x + 9)

f (x) = (x + 3) (x - 3) (x - 1)

f (x) = (x + 3) (x - 3) (x + 1)

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  1. 7 March, 21:28
    0
    The best is f (x) = (x + 3) (x - 3) (x + 1).

    Step-by-step explanation:

    The coefficient of x^3 will be positive because of where the graph rises and falls.

    As one of the x intercepts is negative 3 one of the factors will be (x + 3).

    By the same reasoning the other 2 factors will be (x - 3) and (x + 1).
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