Understanding Domain, Range, and Functions

The video tutorial explains the concepts of domain and range in functions, using graphs to illustrate these ideas. It covers how to determine the domain and range, including examples with specific x and y values. The tutorial also introduces the vertical line test to check if a relation is a function and discusses cases with infinite domain and range.

What does the domain of a function represent?

• The slope of the graph

• All possible y-values

• All possible x-values

• The range of the function

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

If a graph has an open circle at x = 6, what does it imply about the domain?

• x cannot be equal to 6

• x must be greater than 6

• x must be less than 6

• x can be equal to 6

What is the range of a function?

• The domain of the function

• The slope of the graph

• All possible y-values

• All possible x-values

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How is an open circle on a graph interpreted in terms of range?

• The value is the minimum of the range

• The value is included in the range

• The value is excluded from the range

• The value is the maximum of the range

What does the vertical line test determine?

• If a graph is a function

• The range of a graph

• The slope of a graph

• The domain of a graph

If a vertical line intersects a graph at more than one point, what does it indicate?

• The graph has infinite range

• The graph has infinite domain

• The graph is not a function

• The graph is a function

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What does an arrow on a graph indicate about the domain?

• The domain is finite

• The domain is infinite

• The domain is zero

• The domain is negative

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In which direction does a graph with an arrow extend?

• Towards zero

• Only upwards

• Only downwards

• Towards infinity

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the significance of a graph connecting at y = 0?

• y = 0 is not part of the range

• y = 0 is the maximum value

• y = 0 is included in the range

• y = 0 is the minimum value

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CCSS.8.F.A.1

What does it mean if every x-value on a graph has a unique y-coordinate?

• The graph has no range

• The graph is a function

• The graph has no domain

• The graph is not a function

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CCSS.8.F.A.1