Exploring Domain and Range from Continuous Graphs

The video tutorial covers the concepts of domain and range in continuous graphs. It explains how to determine the domain and range using a pencil method, emphasizing the connection between domain and X values, and range and Y values. The tutorial includes several examples, such as V-shaped graphs, sideways squares, squiggly graphs, vertical lines, and graphs with open and closed circles, to illustrate these concepts. Each example demonstrates how to identify the domain and range using inequality or interval notation.

What is the relationship between the domain and X values?

• Domain is related to X values

• Domain is related to Y values

• Domain is unrelated to X values

• Domain is the same as range

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How can you determine the domain of a continuous graph?

• By scanning the graph from top to bottom

• By scanning the graph from left to right

• By scanning the graph diagonally

• By scanning the graph from bottom to top

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CCSS.8.F.A.1

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What does it mean if a graph has arrows at both ends?

• The graph is a square

• The graph is finite

• The graph is a V-shape

• The graph extends infinitely in both directions

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CCSS.HSF-IF.C.7D

How is the range of a V-shaped graph determined?

• By identifying the highest and lowest Y values

• By identifying the highest and lowest X values

• By identifying the midpoint of the graph

• By identifying the endpoints of the graph

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CCSS.HSF-IF.C.7D

What is the domain of a line that extends infinitely left and right?

• All real numbers

• Only integers

• Only negative numbers

• Only positive numbers

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How do you write the domain of a square graph that touches between -1 and 5?

• -1 < x < 5

• -1 ≤ x ≤ 5

• -1 > x > 5

• -1 ≥ x ≥ 5

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of a graph that touches between -3 and 2 on the Y-axis?

• -3 < y < 2

• -3 ≤ y ≤ 2

• -3 > y > 2

• -3 ≥ y ≥ 2

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How do you determine the domain of a graph with an open circle at x = 2?

• x = 2

• x > 2

• x < 2

• x ≠ 2

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of a graph that extends infinitely up and down?

• All real numbers

• Only integers

• Only negative numbers

• Only positive numbers

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CCSS.HSA.REI.D.12

How do you write the range of a graph that touches between -2 and 1 on the Y-axis?

• -2 ≥ y ≥ 1

• -2 < y < 1

• -2 ≤ y ≤ 1

• -2 > y > 1

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5