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...

Graph Analysis of Absolute Function g(x)

5 Questions

0 Views

Graph Analysis of Absolute Function g(x)

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

Which equation correctly represents the V-shaped graph that opens upwards?

$g(x) = -|x + 3|$

$g(x) = |x - 3|$

$g(x) = |x + 3|$ (correct)

$g(x) = 2|x + 3|$

What is the range of the graph that shows a straight line starting at (1, 4) and going down towards (4, -0)?

$-4 ≤ f(x) ≤ 5$ (correct)

$-4 ≤ f(x) ≤ 0$

$0 ≤ f(x) ≤ 4$

$-5 ≤ f(x) ≤ 5$

Which statement about the straight line graph starting at (1, 4) is FALSE?

The minimum value is at (4, -0).

The graph has a negative slope.

The maximum occurs at (1, 4).

The graph is always negative. (correct)

At which point does the maximum value on the displayed graph occur?

<p>(1, 4)</p> Signup and view all the answers

What characterizes the behavior of the graph that starts at (1, 4)?

<p>It is always decreasing.</p> Signup and view all the answers

Study Notes

Function Equation

The equation that represents the graph is g(x) = |x + 3|

Graph Analysis

Range: The range is -4 ≤ f(x) ≤ 5. This means the y-values of the graph fall between -4 and 5, inclusive
Domain: The domain is not 0 < x < 3. The domain is not explicitly stated but can be inferred from the graph. Based on the provided data for the domain, the correct domain is implied
Trend: The graph is not always decreasing. A key characteristic of the graph is a single maximum point
Maximum Point: The maximum value of the graph represented by the absolute value function is not at (0, 5). Based on the given graph, the maximum occurs at a specific point of the graph.

Studying That Suits You

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

Description

This quiz explores the function g(x) = |x + 3|, focusing on its graph characteristics including range, domain, and trends. Test your understanding of how to analyze the graph, identify its maximum point, and recognize the implications of the absolute value function.