Finding Domain and Range in Interval Notation

This video tutorial teaches how to determine the domain and range of a function using interval notation from a graph. It includes five examples, each demonstrating different scenarios such as continuous domains, gaps, and specific value ranges. The video also explains the concept of domain as possible x-values and range as possible y-values, using visual scanning techniques. The tutorial concludes with a preview of finding domains from equations.

What is the domain of a function?

• Possible y-values

• Possible x-values

• None of the above

• Range of the function

How do you write the domain of a function that extends left and right forever?

• From 0 to Infinity

• From 0 to positive Infinity

• From negative Infinity to positive Infinity

• From negative Infinity to 0

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

• All real numbers except -3

• All real numbers except 3

• All real numbers

• From -3 to 3

What is the range of the function in the second example?

• From -2 to 2

• From -3 to 3

• Only -2 and 2

• All real numbers

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

• From 1 to 6

• From 0 to 5

• From -1 to 5

• From 1 to 5

What is the range of the function in the third example?

• From -2 to 1

• From -1 to 2

• From 0 to 2

• From -2 to 2

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

• All real numbers

• From -1 to 1

• From -Infinity to 1

• From -1 to Infinity

What is the range of the function in the fourth example?

• From -Infinity to -1

• From 0 to Infinity

• From -1 to 1

• From -Infinity to 0

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

• From -Infinity to -1

• From -1 to 1

• From 0 to 1

• From -Infinity to 0

What is the range of the function in the fifth example?

• All real numbers

• From -Infinity to 0

• From 0 to Infinity

• From -1 to 1