Question #6453342Fill 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 odd degree polynomial with a positive leading coefficient, the right end of the graph will extend upward and the left end will extend downward.
The end behavior of a polynomial is determined by its leading term. For an odd degree polynomial with a positive leading coefficient, the right end of the graph will extend upward and the left end will extend downward.
Step-by-step Solution
1. Identify the leading term:
2. Determine the degree: 9 (odd)
3. Determine the leading coefficient: 7 (positive)
4. Apply the end behavior rule for odd degree and positive leading coefficient: Right end goes up, left end goes down.
5. Final answer: As ,
1. Identify the leading term:
2. Determine the degree: 9 (odd)
3. Determine the leading coefficient: 7 (positive)
4. Apply the end behavior rule for odd degree and positive leading coefficient: Right end goes up, left end goes down.
5. Final answer: As ,
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