Finding Domain and Range from Graphs

The video tutorial explains the concepts of domain and range in mathematics, using ordered pairs. It provides definitions and examples to illustrate how to determine the domain and range from a graph. The tutorial covers different scenarios, including closed and open intervals, and cases where the domain and range extend to infinity. The instructor uses interval notation to represent these concepts and emphasizes the importance of order in notation.

What is the definition of a relation in mathematics?

• A set of equations

• A set of numbers

• A set of ordered pairs

• A set of graphs

What does the domain of a function represent?

• The set of all y-values

• The set of all x-values

• The set of all points

• The set of all graphs

In the first example, what is the domain of the graph?

• From -3 to 4

• From -2 to 1

• From -4 to 3

• From -1 to 2

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

• From -2 to 1

• From -1 to 2

• From -3 to 4

• From -4 to 3

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

• From -3 to 4

• From -2 to 1

• From -infinity to infinity

• From 2 to infinity

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

• From 2 to infinity

• From -infinity to infinity

• From -2 to 1

• From -3 to 4

In the third example, what is the domain of the graph?

• From -infinity to infinity

• From -3 to 4

• From 2 to infinity

• From -2 to 1

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

• From -3 to 4

• From -infinity to infinity

• From -2 to 1

• From 2 to infinity

What does interval notation represent?

• The order of values

• The set of all x-values

• The set of all points

• The set of all y-values

In interval notation, what does the lowest leftist value represent?

• The lowest value

• The average value

• The highest value

• The middle value