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What is the end behavior of the graph of the polynomial function y = 7x12 – 3x8 – 9x4?

2 Answers

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Final answer:

The end behavior of the graph of the given polynomial function is as follows: as x approaches negative infinity, the graph approaches positive infinity, and as x approaches positive infinity, the graph also approaches positive infinity.

Step-by-step explanation:

The end behavior of a polynomial function is determined by the degree and leading coefficient of the polynomial.

In this case, the given polynomial function is y = 7x^12 - 3x^8 - 9x^4.

Since the degree of the polynomial is even and the leading coefficient is positive, the end behavior of the graph is as follows:

As x approaches negative infinity, the graph of the polynomial function approaches positive infinity.

As x approaches positive infinity, the graph of the polynomial function also approaches positive infinity.

User Sundus
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1 vote

Answer:

Answer is D) As X---> negative infinity, y --> positive infinity and as x--> positive infinity, y---> positive infinity

Step-by-step explanation:

Just took the test and got it right!!

Hope this helps!!!!

User Thibault Dumas
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