## Questions and Answers

What is the end behavior of the graph of $y = x^2$ as $x$ approaches positive infinity?

How is the end behavior of an even function described?

What type of function is $y = x^2$?

What happens to the values of $y$ as $x$ approaches negative infinity for the graph of $y = x^2$?

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What is the degree of the function $y = x^2$?

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## Study Notes

### End Behavior of the Graph of ( y = x^2 )

- As ( x ) approaches positive infinity, ( y = x^2 ) also approaches positive infinity, indicating that the graph rises without bound.
- The end behavior mirrors that of a typical quadratic function, characterized by a U-shaped curve.

### Characteristics of Even Functions

- Even functions exhibit symmetry about the y-axis.
- For all even functions, the end behavior as ( x ) approaches both positive and negative infinity is the same.

### Type of Function

- The function ( y = x^2 ) is classified as a quadratic function due to its highest degree being two.

### End Behavior as ( x ) Approaches Negative Infinity

- As ( x ) approaches negative infinity, the values of ( y = x^2 ) still approach positive infinity, maintaining the upward trend of the graph.

### Degree of the Function

- The degree of the function ( y = x^2 ) is two, which defines its quadratic nature and affects the nature of its end behavior and graph shape.

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## Description

Graphing Polynomial Functions Quiz: Test your knowledge of graphing polynomial functions by understanding end behavior, multiplicity, and finding zeros. Learn how to plot even functions such as y = x^2 and grasp the concept of symmetry around the y-axis. Perfect your graphing skills with this informative quiz!