Graphing Concepts and Interval Notation

The video tutorial explains how to determine the domain and range of a continuous function from its graph. It covers the concepts of domain as possible x-values and range as possible y-values, and explains the significance of open and closed circles on the graph. The tutorial provides four examples to illustrate how to identify the domain and range, emphasizing the use of parentheses for open circles and brackets for closed circles.

What is the domain of a function?

• The graph of the function

• The range of the function

• The possible X values

• The possible Y values

What does a filled-in circle on a graph indicate?

• The value is not included

• The value is included

• The value is zero

• The value is negative

What does an open circle on a graph indicate?

• The value is positive

• The value is included

• The value is not included

• The value is zero

What is the significance of a filled-in circle in interval notation?

• Use a curly brace

• Use a bracket

• Use a parenthesis

• Use a square bracket

How do you identify the range on a graph?

• By looking at the X-axis

• By looking top to bottom

• By looking left to right

• By looking bottom to top

What symbol is used for an open circle in interval notation?

• Curly brace

• Square bracket

• Parenthesis

• Bracket

How do you determine the domain from a graph?

• By looking at the range

• By looking at the Y-axis

• By looking left to right

• By looking top to bottom

In Example 1, what is the domain of the graph?

• (-3, 2)

• [-3, 2)

• [-3, 2]

• (-3, 2]

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

• (-4, 5]

• [-4, 5]

• (-4, 5)

• [-4, 5)

In Example 1, what is the rightmost X value?

• 5

• -4

• 2

• -3