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The graph of a polynomial function is shown. Which statement about the polynomial is true?

User Meloman
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1 Answer

8 votes

Answer:

The degree is odd and the leading coefficient is positive.

Explanation:

Clearly from the graph of the polynomial function we see that both the ends of the graph are in the opposite directions.

This means that the degree of the polynomial is odd.

( Since in even degree polynomial both the ends are in the same direction )

Also, the leading coefficient of the polynomial is positive.

Since, when a leading coefficient of a odd degree polynomial let p(x) is positive then it satisfies the following property:

when x → -∞ p(x) → -∞

and when x → ∞ p(x) → ∞

User Ouissal
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