4.1 Graphing Polynomial Functions

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What is a polynomial function?

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A polynomial function is a mathematical expression that involves a sum of powers in one or more variables multiplied by coefficients. The exponents must be non-negative integers.

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No, not a polynomial function because it contains a term with a negative exponent.

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The leading coefficient is 4, which is the coefficient of the term with the highest degree.

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Yes, polynomial function because all the exponents are non-negative integers.

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What does it mean for a polynomial function to be written in standard form?

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A polynomial function is in standard form when its terms are arranged in descending order of their exponents.

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The value is 6848.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the polynomial.

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What is a monomial?

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A monomial is a polynomial with only one term.

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What is a binomial?

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A binomial is a polynomial with exactly two terms.

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What is a trinomial?

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A trinomial is a polynomial with exactly three terms.