Answered

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If _____________, then the graph of the polynomial function is symmetric about the origin.f(x) = -f(-x)f(x) = -f(x)f(x) = f(-x)f(x) = f(x + 1)

Sagot :

ANSWER:

1st option: f(x) = -f(-x)

STEP-BY-STEP EXPLANATION:

The polynomial function is symmetric about the origin in the odds functions, where the following is true:

[tex]\begin{gathered} f(-x)=-f(x) \\ \\ \text{ Therefore:} \\ \\ f(x)=-f(-x) \end{gathered}[/tex]

Then it would be:

If f(x) = -f(-x), then the graph of the polynomial function is symmetric about the origin.

The correct answer is the 1st option: f(x) = -f(-x)

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