Exploring Domain and Range from Graphs

The video tutorial explains how to find the domain and range from a graph. It begins with an analogy using animals to introduce the concepts of domain and range as lists of numbers. The tutorial then explains ordered pairs and their relation to the x and y values on a coordinate plane. It covers how to list domain and range values without duplicates and distinguishes between discrete and continuous graphs. For continuous graphs, the video demonstrates using compound inequalities to represent domain and range. The tutorial concludes with a practice exercise for finding domain and range from a graph.

What are domain and range in the context of a graph?

• Names of variables

• Coordinates on a map

• Types of animals

• Titles of lists of numbers

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

In an ordered pair (x, y), what does the first number represent?

• The x-value

• The domain

• The y-value

• The range

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How do you list the domain and range values from a graph?

• In curly brackets

• In square brackets

• In angle brackets

• In parentheses

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

When listing domain and range values, what should you do with duplicate numbers?

• List them at the end

• List them only once

• Ignore them completely

• List them multiple times

What type of graph consists of individual points?

• Continuous graph

• Discrete graph

• Bar graph

• Line graph

What type of graph has an infinite number of points between any two points?

• Bar graph

• Continuous graph

• Discrete graph

• Scatter plot

What mathematical tool is used to represent the domain and range of a continuous graph?

• Simple inequalities

• Equations

• Compound inequalities

• Functions

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

In a continuous graph, what do closed dots on the ends of the graph indicate?

• The values are not included

• The graph is discrete

• The values are included

• The graph is incomplete

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How do you determine the range of a graph?

• By looking at the x-values

• By looking at the y-values

• By looking at the coordinates

• By looking at the z-values

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

When writing a compound inequality for the range, which value do you start with?

• The largest number

• The average number

• The middle number

• The smallest number