Exploring Domain and Range from Graphs

The video tutorial introduces the concepts of domain and range in mathematics, using various graph examples such as square root graphs, circles, lines, and parabolas. It explains how domain refers to the set of all possible x-values, while range refers to the set of all possible y-values. The tutorial provides detailed examples to illustrate how to determine the domain and range for different types of graphs, emphasizing the importance of understanding these concepts in graph analysis.

What does the domain of a graph represent?

• The highest point on the graph

• The lowest point on the graph

• All the x-values

• All the y-values

Which axis does the range of a graph refer to?

• w-axis

• y-axis

• z-axis

• x-axis

For a square root graph, what is the domain?

• y ≤ 0

• y ≥ 0

• x ≤ 0

• x ≥ 0

For a square root graph, what is the range?

• x ≥ 0

• y ≤ 0

• x ≤ 0

• y ≥ 0

What is the domain of a circle that spans from x = 3 to x = 7?

• 3 ≤ x ≤ 7

• x = 5

• x ≥ 3

• x ≤ 7

What is the range of a circle that spans from y = 1 to y = 5?

• y = 3

• 1 ≤ y ≤ 5

• y ≤ 5

• y ≥ 1

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

• No values

• x ≥ 0

• All real numbers

• x ≤ 0

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

• No values

• y ≥ 0

• y ≤ 0

• All real numbers

What is the range of a parabola with a lowest point at y = -5?

• No values

• All real numbers

• y ≤ -5

• y ≥ -5

For a graph with domain x ≤ 1, what is the domain?

• x ≥ 1

• x ≤ 1

• No values

• All real numbers