Question #6453348Fill in the Blank
Algebra-1
Question
The end behavior of the polynomial as is and as is .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of the end behavior of a polynomial function, specifically focusing on the leading term and its coefficient.
This question tests the understanding of the end behavior of a polynomial function, specifically focusing on the leading term and its coefficient.
Key Concept Explanation
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. The sign of the leading coefficient and the parity of the degree (odd or even) dictate the end behavior.
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. The sign of the leading coefficient and the parity of the degree (odd or even) dictate the end behavior.
Step-by-step Solution
1. Identify the leading term:
2. Determine the degree: 6 (even)
3. Determine the leading coefficient: 10 (positive)
4. Use the four core types of end behavior:
When the degree is even and the leading coefficient is positive, as ,
1. Identify the leading term:
2. Determine the degree: 6 (even)
3. Determine the leading coefficient: 10 (positive)
4. Use the four core types of end behavior:
When the degree is even and the leading coefficient is positive, as ,
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