Question #6453340Fill in the Blank
Algebra-1
Question
For the polynomial , as , the value of approaches _________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to determine the end behavior of a polynomial function with an odd degree and a negative leading coefficient.
This question assesses the student's ability to determine the end behavior of a polynomial function with an odd degree and a negative leading coefficient.
Key Concept Explanation
The end behavior of a polynomial is influenced by the leading term, which is the term with the highest degree. The sign of the leading coefficient and whether the degree is even or odd are crucial in determining the end behavior.
The end behavior of a polynomial is influenced by the leading term, which is the term with the highest degree. The sign of the leading coefficient and whether the degree is even or odd are crucial in determining the end behavior.
Step-by-step Solution
1. Identify the leading term: The leading term is , with a leading coefficient of -2 and an odd degree of 9.
2. Determine the end behavior for positive infinity: Since the leading coefficient is negative and the degree is odd, as
1. Identify the leading term: The leading term is , with a leading coefficient of -2 and an odd degree of 9.
2. Determine the end behavior for positive infinity: Since the leading coefficient is negative and the degree is odd, as
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