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23 March, 12:08

A polynomial function has a root of - 6 with multiplicity 1, a root of - 2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

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  1. 23 March, 14:43
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    Since the function has a positive leading coefficient and is of odd degree, the general appearance of the graph is:

    when the value of x goes to negative infinity, f (x) goes to negative infinity as well

    when the of x goes to positive infinity, f (x) goes to positive infinity as well

    The function will cross the x axis at - 6, cross the x axis at - 2, touch the axis at 0, and cross the x axis at 4.

    These statements are true:

    The function is negative from negative infinity to - 6

    The function is positive from - 6 to - 2

    The function is negative from - 2 to 0

    The function is negative from 0 to 4

    The function is positive from 4 to positive infinity
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