TAKE HOME!! *AA C&C FLASHCARD: Graphs of Polynomials (Parts 1-3)

Front

What is the End Behavior of a polynomial function?

Back

The End Behavior of a polynomial function describes how the function behaves as the input (x) approaches positive or negative infinity. It is determined by the leading term of the polynomial.

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Front

What does it mean if a polynomial has an even degree and a negative leading coefficient?

Back

Front

What is a zero of a polynomial?

Back

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Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the direction of the End Behavior of the polynomial function. If it is positive, the function will rise to infinity on the right; if negative, it will fall to infinity on the right.

Front

What is the general form of a polynomial function?

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What does it mean for a polynomial to have a degree of 4?

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A polynomial of degree 4 can have up to 4 real zeros and its graph can have up to 3 turning points.

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How do you identify the degree of a polynomial?

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Front

What is the relationship between the degree of a polynomial and the number of zeros it can have?

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