Question #6453341Fill 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 negative leading coefficient, both ends of the graph will extend downward.
The end behavior of a polynomial is determined by its leading term. For an even degree polynomial with a negative leading coefficient, both ends of the graph will extend downward.
Step-by-step Solution
1. Identify the leading term:
2. Determine the degree: 8 (even)
3. Determine the leading coefficient: -6 (negative)
4. Apply the end behavior rule for even degree and negative leading coefficient: Both ends go down.
5. Final answer: As ,
1. Identify the leading term:
2. Determine the degree: 8 (even)
3. Determine the leading coefficient: -6 (negative)
4. Apply the end behavior rule for even degree and negative leading coefficient: Both ends go down.
5. Final answer: As ,
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