Determining Domain and Range from Graphs

The video tutorial explains how to find the domain and range of a graph. It begins by introducing the concepts of domain and range, emphasizing their role in representing relationships between x and y values on a graph. The tutorial then demonstrates how to determine the domain and range using specific points, showing how each point can be expressed as an ordered pair. It further explores continuous functions, explaining that the domain and range can extend to infinity when there are no breaks in the graph. The video concludes by summarizing how to identify domain and range for both discrete points and continuous functions.

What is the domain in a graph?

• The range of the graph

• All the y values

• All the x values

• The relationship between x and y values

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How can you represent a point on a graph?

• As a circle

• As a line

• As a pair of x and y values

• As a single value

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What does the x-axis represent?

• Vertical movement

• Circular movement

• Horizontal movement

• Diagonal movement

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If a point is at (0, -2), what does the 0 represent?

• The y value

• The x value

• The range

• The domain

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What is the domain of the points (-2, 1), (-1, 5), (1, 2), (4, 1), and (0, -2)?

• 5, 1, 2, 1, -2

• 0, 1, 2, 3, 4

• -2, -1, 1, 4, 0

• 1, 2, 3, 4, 5

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What is the range of the points (-2, 1), (-1, 5), (1, 2), (4, 1), and (0, -2)?

• 0, 1, 2, 3, 4

• -2, -1, 1, 4, 0

• 5, 1, 2, 1, -2

• 1, 2, 3, 4, 5

What is a continuous function?

• A function with an infinite number of points

• A function with only one point

• A function with a finite number of points

• A function with no points

What is the domain of a continuous function that extends infinitely in both directions?

• Only positive numbers

• Only integers

• All real numbers

• Only negative numbers

What is the range of a continuous function that extends infinitely in both directions?

• All real numbers

• Only positive numbers

• Only negative numbers

• Only integers

How do you determine the range of a continuous function?

• By measuring the length

• By looking at the y values

• By looking at the x values

• By counting the points