Question #6453217Fill in the Blank
Algebra-1
Question
The range of the polynomial is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of the range of an even-degree polynomial with a positive leading coefficient. The range will be from the minimum value to positive infinity.
This question tests the understanding of the range of an even-degree polynomial with a positive leading coefficient. The range will be from the minimum value to positive infinity.
Key Concept Explanation
For even-degree polynomials with a positive leading coefficient, the range is , where is the minimum value of the function.
For even-degree polynomials with a positive leading coefficient, the range is , where is the minimum value of the function.
Step-by-step Solution
1. Identify the given polynomial:
2. Recognize that this is an even-degree polynomial with a positive leading coefficient.
3. Find the minimum value by completing the square:
1. Identify the given polynomial:
2. Recognize that this is an even-degree polynomial with a positive leading coefficient.
3. Find the minimum value by completing the square:
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