Understanding Domain and Range

This video tutorial introduces the concepts of domain and range in functions. It explains that the domain is the set of all possible input values, while the range is the set of all possible output values. Through various examples, including function tables, ordered pairs, and graphs, the video demonstrates how to determine the domain and range. It also covers how open and closed endpoints affect these sets and how to express them using interval notation.

What is the domain of a function?

• The set of all positive values

• The set of all possible input values

• The set of all negative values

• The set of all possible output values

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

• Zero, two, four, and six

• Three, negative seven, eleven, and eight

• Negative two, zero, two, four, and six

• Negative seven, three, eight, and eleven

How do you determine the domain from a set of ordered pairs?

• By listing the second values of each pair

• By listing the values in descending order

• By listing the first values of each pair

• By listing all values in the pairs

In Example 2, what is the range of the function?

• Zero, two, four, and six

• Negative seven, three, eight, and eleven

• Negative four, seven, zero, and twenty-three

• Two, five, eight, and eleven

What is the domain of the function in Example 3?

• All values from negative four to positive six

• All values from negative one to positive eight

• All values from zero to three

• All values from negative seven to eleven

How is the range determined from a graph?

• By looking at the vertical axis

• By looking at the horizontal axis

• By looking at the diagonal axis

• By looking at both axes

In Example 4, what is the domain of function a(x)?

• From negative one to positive eight, excluding endpoints

• From zero to three, including endpoints

• From negative four to positive one, including endpoints

• From negative four to positive six, excluding endpoints

What is the range of function b(x) in Example 4?

• From zero to three, including endpoints

• From negative four to positive one, including endpoints

• From zero to three, excluding endpoints

• From negative one to positive eight, excluding endpoints

How does an open endpoint affect the domain or range?

• It has no effect on the domain or range

• It doubles the endpoint value

• It excludes the endpoint from the domain or range

• It includes the endpoint in the domain or range

In Example 4, what is the range of function c(x)?

• From zero to three, excluding endpoints

• From negative four to positive one, including endpoints

• From zero to three, including zero but not three

• From negative one to positive eight, including endpoints