Exploring Functions, Domain, and Range Practice

The video tutorial explains how to determine if a graph represents a function using the vertical line test. It then guides viewers on identifying the domain and range of a function by analyzing the graph's limits, including closed circles and arrows indicating infinity. The tutorial concludes with an example of a graph that is not a function, demonstrating how to determine its domain and range.

What test is used to determine if a graph represents a function?

• Horizontal Line Test

• Vertical Line Test

• Intercept Test

• Slope Test

What does it mean if a vertical line crosses a graph more than once?

• The graph is linear

• The graph does not represent a function

• The graph is quadratic

• The graph represents a function

How do you determine the domain of a function from its graph?

• By counting the number of intercepts

• By looking at the horizontal extent of the graph

• By checking the slope of the graph

• By looking at the vertical extent of the graph

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What symbol is used to represent that a domain extends to negative infinity?

• (

• ]

• [

• )

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CCSS.HSA.REI.D.12

What is the domain of a function that extends forever to the left and stops at 1?

• (-∞, 1]

• [0, ∞)

• [1, ∞)

• (-∞, 1)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How do you determine the range of a function from its graph?

• By looking at the horizontal extent of the graph

• By checking the slope of the graph

• By looking at the vertical extent of the graph

• By counting the number of intercepts

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of a function that starts at 0 and extends to positive infinity?

• (-∞, ∞)

• (-∞, 0]

• [0, 1]

• [0, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

If a graph crosses a vertical line twice, what can be concluded?

• The graph is quadratic

• The graph is linear

• The graph does not represent a function

• The graph represents a function

What is the domain of a function that starts at 0 and extends to positive infinity?

• (-∞, ∞)

• (-∞, 0]

• [0, ∞)

• [0, 1]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of a function that decreases forever and increases forever?

• [0, 1]

• (-∞, 0]

• [0, ∞)

• (-∞, ∞)