Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

Polynomial Functions Graphing Mastery Quiz

5 Questions

5 Views

Polynomial Functions Graphing Mastery Quiz

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

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

The end behavior is up, as $x$ approaches positive infinity, $y$ approaches negative infinity.

The end behavior is down, as $x$ approaches positive infinity, $y$ approaches negative infinity.

The end behavior is up, as $x$ approaches positive infinity, $y$ approaches positive infinity. (correct)

The end behavior is down, as $x$ approaches positive infinity, $y$ approaches positive infinity.

How is the end behavior of an even function described?

It has a negative slope.

It is symmetrical about the x-axis.

It has a positive slope.

It is symmetrical about the y-axis. (correct)

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

Neither even nor odd function

Odd function

Even function (correct)

Both even and odd function

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

<p>As $x$ approaches negative infinity, $y$ approaches positive infinity.</p> Signup and view all the answers

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

<p>2</p> Signup and view all the answers

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.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

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!