Question #6453334Fill in the Blank
Algebra-1
Question
The end behavior of the polynomial as is and as is .
Answer & Analysis
Analysis
Question Analysis
This question assesses the ability to determine the end behavior of a polynomial with an odd degree and a negative leading coefficient.
This question assesses the ability to determine the end behavior of a polynomial with an odd degree and a negative leading coefficient.
Key Concept Explanation
The end behavior of a polynomial is governed by the leading term. For an odd degree and a negative leading coefficient, the right end of the graph extends downward, and the left end extends upward.
The end behavior of a polynomial is governed by the leading term. For an odd degree and a negative leading coefficient, the right end of the graph extends downward, and the left end extends upward.
Step-by-step Solution
1. Identify the leading term:
2. Determine the degree: 5 (odd)
3. Determine the leading coefficient: -2 (negative)
4. Apply the end behavior rule for odd degree and negative leading coefficient: Right end goes down, left end goes up.
5. Final answer: As ,
1. Identify the leading term:
2. Determine the degree: 5 (odd)
3. Determine the leading coefficient: -2 (negative)
4. Apply the end behavior rule for odd degree and negative leading coefficient: Right end goes down, left end goes up.
5. Final answer: As ,
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