Exploring Domain and Range of Continuous Graphs

This lesson covers the domain and range of continuous graphs, explaining how to identify them using inequalities. It includes examples and practice problems, addressing special cases like vertical lines and the use of open and closed dots. The lesson emphasizes patience and practice to grasp these concepts.

What is the domain of a graph?

• The lowest point on the graph

• All the y-values

• The highest point on the graph

• All the x-values

How do you find the range of a graph?

• Scan from left to right

• Scan from right to left

• Scan from top to bottom

• Scan from bottom to top

What does 'all reals' mean in the context of domain and range?

• The graph includes all possible x and y values

• The graph includes no values

• The graph includes all possible y-values

• The graph includes all possible x-values

In example 1, what is the range of the graph?

• y is less than or equal to -2

• y is greater than or equal to 2

• y is less than or equal to 2

• y is greater than or equal to -2

For a graph that goes from x = -3 to x = 3, how would you write the domain?

• x is less than 3

• x is equal to 3

• x is between -3 and 3

• x is greater than -3

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

• x is between -1 and 1

• x is less than 0

• x is greater than 0

• All reals

In example 3, what is the range of the graph?

• y is between -1 and 1

• y is less than 0

• y is greater than 0

• All reals

How do you write the domain for a graph that only touches x = 2?

• x is less than 2

• x is not equal to 2

• x is greater than 2

• x is equal to 2

What symbol do you use for a closed circle in inequalities?

• Greater than

• Less than

• Greater than or equal to

• Less than or equal to

For a graph with an open circle at x = 2, how would you write the domain?

• x is not equal to 2

• x is equal to 2

• x is less than 2

• x is greater than 2