Question #6453333Fill 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 degree.
This question tests the understanding of the end behavior of a polynomial function, specifically focusing on the leading term and its degree.
Key Concept Explanation
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. For an even degree and a positive leading coefficient, both ends of the graph extend upward.
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. For an even degree and a positive leading coefficient, both ends of the graph extend upward.
Step-by-step Solution
1. Identify the leading term:
2. Determine the degree: 4 (even)
3. Determine the leading coefficient: 6 (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: 4 (even)
3. Determine the leading coefficient: 6 (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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