Answer:

✒️POLYNOMIAL FUNCTION

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\Large\underline{\mathbb{HOW}:}

HOW:

Using the polynomial, f(x)= -2x³ + 4x - 8, explain how the degree and leading coefficient will affect the end behavior of its graph.

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\Large\underline{\mathbb{ANSWER}:}

ANSWER:

The degree and the leading coefficient will affect the end behavior of its graph depending on its value.

The end behavior of the graph:

If its degree is Odd and its leading coefficient is Positive, then the graph falls to the left and rises to the right.

If its degree is Odd and its leading coefficient is Negative, then the graph rises to the left and falls to the right.

If its degree is Even and its leading coefficient is Positive, then the graph rises onto both the left and the right.

If its degree is Even and its leading coefficient is Negative, then the graph falls onto both the left and the right.

On the given polynomial function:

Its degree is 3 and its leading coefficient is -2. Since its degree is Odd and its leading coefficient is Negative, the the graph rises to the left and falls to the right.

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Explanation:

hope it's help ^_^