Finding Domain and Range from Graphs

In this video, Betsy explains how to analyze graphs by determining their domain, range, and whether they are functions. She uses examples of different graph types, including lines, ovals, and rays, to illustrate these concepts. The video covers how to identify the domain and range using the x-axis and y-axis, respectively, and how to apply the vertical line test to determine if a graph is a function. Betsy also discusses the difference between continuous graphs and discrete ordered pairs in terms of listing domain and range.

What are the X values of a graph referred to as?

• Range

• Function

• Domain

• Interval

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How do you determine the domain of a graph?

• By looking at the highest and lowest points on the y-axis

• By checking the farthest points on the x-axis

• By counting the number of points on the graph

• By drawing a horizontal line through the graph

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What symbol is used when a point on the graph is closed?

• Less than

• Greater than

• Equal to

• Less than or equal to

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CCSS.HSF-IF.C.7A

How do you write a closed interval in interval notation?

• Using brackets

• Using asterisks

• Using parentheses

• Using curly braces

What is the vertical line test used for?

• To determine if a graph is a function

• To find the range of a graph

• To find the domain of a graph

• To determine the slope of a graph

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CCSS.8.F.A.1

If a vertical line crosses a graph more than once, what does it indicate?

• The graph is a function

• The graph has no range

• The graph is not a function

• The graph has no domain

What is the domain of an oval graph that extends from -5.5 to 1.5?

• [5.5, -1.5]

• (-5.5, 1.5]

• [-5.5, 1.5]

• (-5.5, 1.5)

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How do you write the range of a graph that goes from -1 to 4?

• (-1, 4]

• [1, -4]

• [-1, 4]

• (-1, 4)

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of a graph that extends from -7 to infinity?

• [-∞, 7)

• [-7, ∞)

• (-∞, 7]

• (-7, ∞)

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CCSS.HSA.REI.D.12

What is the range of a graph that extends from -3 to infinity?

• [-∞, 3)

• (-∞, 3]

• [-3, ∞)

• (-3, ∞)

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5