Question #6453227Fill in the Blank
Algebra-1
Question
The range of the polynomial is ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to determine the range of a polynomial that is a composition of a quadratic function and a constant.
This question tests the ability to determine the range of a polynomial that is a composition of a quadratic function and a constant.
Key Concept Explanation
For polynomials that can be expressed as a square plus a constant, the range is determined by the minimum value of the squared term and the constant.
For polynomials that can be expressed as a square plus a constant, the range is determined by the minimum value of the squared term and the constant.
Step-by-step Solution
1. Identify the given polynomial:
2. Simplify the inner quadratic expression:
3. Recognize that is always non-negative, so the minimum value of
1. Identify the given polynomial:
2. Simplify the inner quadratic expression:
3. Recognize that is always non-negative, so the minimum value of
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!