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Questions and Answers
What is the general form of a quadratic function?
What is the general form of a quadratic function?
- y = ax^3 + bx + c
- y = ax^2 + bx + c (correct)
- y = ax + bx + c
- y = ax^4 + bx + c
What is the highest power of x in a quadratic function?
What is the highest power of x in a quadratic function?
- x^3
- x
- x^4
- x^2 (correct)
What is the natural domain of a quadratic function?
What is the natural domain of a quadratic function?
- No real numbers
- All real numbers (correct)
- All negative real numbers
- All positive real numbers
What is the condition for a quadratic function to exist?
What is the condition for a quadratic function to exist?
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What does the value of a represent in a quadratic function?
What does the value of a represent in a quadratic function?
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Study Notes
Quadratic Function Definition
- A quadratic function has the form: y = ax^2 + bx + c, where a, b, and c are any real numbers.
- The highest power of x occurring in a quadratic function is x^2.
Characteristics of Quadratic Functions
- The value of a in a quadratic function is never zero, otherwise, the function is linear.
- The natural domain of a quadratic function is the set of all real numbers.
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