Quadratic Functions
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Questions and Answers

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?

  • x^3
  • x
  • x^4
  • x^2 (correct)

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?

<p>a ≠ 0 (D)</p> Signup and view all the answers

What does the value of a represent in a quadratic function?

<p>The coefficient of the squared term (A)</p> Signup and view all the answers

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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Description

This quiz covers the concept of quadratic functions, including their general form, domain, and characteristics. Test your knowledge of these fundamental algebra concepts!

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