Exploring Domain and Range from Graphs

The video tutorial explains how to find the domain and range of a graph. It starts with an introduction to the concepts of domain and range, emphasizing the importance of x-values for domain and y-values for range. The tutorial then provides detailed steps and examples for determining the domain from a graph, including the use of interval notation and the significance of closed and open dots. It follows with a similar approach for finding the range, illustrating the process with various graph examples.

What does the domain of a graph represent?

• The y-values of the graph

• The intercepts of the graph

• The x-values of the graph

• The slope of the graph

In interval notation, how do we write the domain of a graph that starts at -6 and ends at 6 with closed dots?

• (-6, 6)

• [-6, 6]

• (-6, 6]

• [-6, 6)

If a graph has a closed dot at -7 and an open dot at 5, how is the domain written?

• [-7, 5]

• (-7, 5)

• (-7, 5]

• [-7, 5)

For a graph that extends infinitely to the right, how is the domain represented?

• (0, ∞)

• [0, ∞]

• (0, ∞]

• [0, ∞)

What does the range of a graph represent?

• The intercepts of the graph

• The y-values of the graph

• The x-values of the graph

• The slope of the graph

In interval notation, how do we write the range of a graph that starts at 0 and ends at 6 with closed dots?

• [0, 6)

• (0, 6]

• [0, 6]

• (0, 6)

If a graph has a closed dot at -3 and an open dot at 1, how is the range written?

• (-3, 1)

• [-3, 1)

• (-3, 1]

• [-3, 1]

For a graph that extends infinitely upwards and downwards, how is the range represented?

• [0, ∞]

• (-∞, 0]

• [0, ∞)

• (-∞, ∞)

How is the range written for a horizontal line at y = 4?

• [4, ∞)

• (-∞, 4]

• (4, 4)

• [4, 4]

If a graph has a lowest point at -2 and a highest point at 4 with closed dots, how is the range written?

• (-2, 4]

• [-2, 4)

• (-2, 4)

• [-2, 4]