Exploring Domain and Range Concepts

This video tutorial covers the concepts of domain and range in functions, including exercises to identify domain and range from points, graphs, and tables. It applies these concepts to real-life scenarios, such as a construction company and an online music service. The video also explains how to use interval and inequality notation to express domain and range, emphasizing the importance of understanding these concepts for exams.

What is the domain of a function?

• The set of all W values

• The set of all Y values

• The set of all X values

• The set of all Z values

In a function, what is another term for the range?

• Output

• Function

• Domain

• Input

Given the points (1, 5), (3, 7), and (5, 9), what is the domain?

• {3, 7, 9}

• {1, 5, 9}

• {1, 3, 5}

• {5, 7, 9}

For the points (2, -3), (4, 0), and (5, 2), what is the range?

• {-3, 2, 5}

• {0, 2, 4}

• {-3, 0, 2}

• {2, 4, 5}

In a construction company scenario, what is a reasonable domain for the number of people working on a project?

• Negative real numbers

• Negative integers

• Positive integers

• Positive real numbers

For an online company charging $0.99 per song after a $5 membership fee, what is the most appropriate range?

• Whole numbers greater than or equal to 1

• Integers less than or equal to zero

• Rational numbers greater than zero

• Whole numbers less than or equal to one

What is the interval notation for a domain that starts at -4 and ends at 4, inclusive?

• (-4, 4)

• [4, -4]

• [-4, 4]

• (-4, 4]

How do you represent a range from -5 to 3, inclusive, in inequality notation?

• -5 < y < 3

• -5 ≤ y ≤ 3

• -5 ≤ y < 3

• -5 < y ≤ 3

If a function's domain is from -7 to 7, excluding the endpoints, how is it written in interval notation?

• [-7, 7)

• (7, -7)

• (-7, 7)

• [-7, 7]

What is the range of a function that starts at -8 and goes to infinity?

• (-8, ∞)

• [-8, ∞)

• [-8, ∞]

• (-8, ∞]