Understanding Domain and Range from Graphs

The video tutorial explains how to determine the domain and range of a function using its graph. It covers the concepts of domain and range, how to project a function onto the x-axis to find the domain, and onto the y-axis to find the range. The tutorial includes examples to illustrate these concepts, using both inequalities and interval notation to express the domain and range.

What is the domain of a function?

• The set of all possible y-values

• The set of all possible x-values

• The set of all possible z-values

• The set of all possible values

How do you determine the domain of a function from its graph?

• By projecting the function onto the x-axis

• By analyzing the graph from right to left

• By analyzing the graph from top to bottom

• By projecting the function onto the y-axis

What does an open point on a graph indicate?

• The value is not included in the range

• The value is included in the range

• The value is not included in the domain

• The value is included in the domain

What is the range of a function?

• The set of all possible z-values

• The set of all possible values

• The set of all possible y-values

• The set of all possible x-values

How do you determine the range of a function from its graph?

• By projecting the function onto the x-axis

• By analyzing the graph from left to right

• By projecting the function onto the y-axis

• By analyzing the graph from bottom to top

In interval notation, how is a closed interval represented?

• With brackets

• With angle brackets

• With parentheses

• With curly braces

In the second example, what is the domain of the function?

• From -2 to 2, including -2 but not 2

• From -2 to 2, including both

• From -2 to 2, excluding -2 but including 2

• From -2 to 2, excluding both

In the second example, what is the range of the function?

• From -4 to 4, excluding -4 but including 4

• From -4 to 4, including -4 but not 4

• From -4 to 4, excluding both

• From -4 to 4, including both

What does a closed point on a graph indicate?

• The value is not included in the range

• The value is included in the range

• The value is not included in the domain

• The value is included in the domain

In interval notation, how is an open interval represented?

• With parentheses

• With angle brackets

• With brackets

• With curly braces