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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^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!