Algebra-1

Question Analysis
This question tests the understanding of the range of polynomials, specifically focusing on the behavior of squared terms and constants. It requires students to recognize that the squared term is always non-negative and then determine the range.

Key Concept Explanation
For polynomials involving squared terms, the range is determined by the minimum value of the squared term plus any constant. The squared term is always non-negative, and the minimum value occurs when the squared term is zero.

Step-by-step Solution
1. Substitute : , where u is a quadratic in x.
2. Find the range of u: For , , so it has a minimum. Vertex , minimum . Thus, .
3. Find the minimum of : Since (and

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