Analyzing Function Behavior and Characteristics

Analyzing Function Behavior and Characteristics

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video, presented by the Math Sorcerer with Chegg, covers analyzing graphs of functions. It introduces the vertical line test to determine if a graph defines y as a function of x. The video explains how to identify where a function is increasing or decreasing by examining x values. It also discusses relative minimum and maximum points on a graph, emphasizing the importance of y values. The video concludes with a summary and encourages viewers to explore more resources on Chegg.

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21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in the video?

Solving equations

Analyzing graphs of functions

Calculating derivatives

Understanding integrals

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the vertical line test help determine?

If a graph has a maximum point

If a graph represents a function of x

If a graph is continuous

If a graph is symmetrical

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the vertical line test, when is a graph not a function of x?

When the graph is a parabola

When the graph is a straight line

When a horizontal line crosses the graph more than once

When a vertical line crosses the graph more than once

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with a circle, why is it not a function of x?

Because it is a closed shape

Because it is not continuous

Because a vertical line crosses it more than once

Because it has no x-intercepts

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when a vertical line crosses a graph exactly once?

The graph is not a function of x

The graph is symmetrical

The graph has a maximum point

The graph is a function of x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining where a function is increasing?

Read the graph from left to right

Look for the highest point on the graph

Identify the y-intercept

Read the graph from right to left

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is a function considered to be increasing?

When the x-values decrease

When the y-values decrease

When the y-values increase

When the x-values remain constant

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