Question #6453344Fill 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 polynomials, specifically focusing on the leading term and its coefficient.
This question tests the understanding of the end behavior of polynomials, specifically focusing on the leading term and its coefficient.
Key Concept Explanation
The end behavior of a polynomial is determined by its leading term. For an even degree polynomial with a positive leading coefficient, both ends of the graph will extend upward.
The end behavior of a polynomial is determined by its leading term. For an even degree polynomial with a positive leading coefficient, both ends of the graph will extend upward.
Step-by-step Solution
1. Identify the leading term:
2. Determine the degree: 6 (even)
3. Determine the leading coefficient: 9 (positive)
4. Apply the end behavior rule for even degree and positive leading coefficient: Both ends go up.
5. Final answer: As ,
1. Identify the leading term:
2. Determine the degree: 6 (even)
3. Determine the leading coefficient: 9 (positive)
4. Apply the end behavior rule for even degree and positive leading coefficient: Both ends go up.
5. Final answer: As ,
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