domain and range

What is the domain of a function?

• The set of all positive real numbers
• The set of all real numbers
• The set of all possible output values
• The set of all possible input values

Why is it important to understand domain and range in various fields such as physics, economics, and computer science?

• To solve problems
• To analyze data
• To make valid conclusions
• All of the above

What is the domain of the function h(x) = √(x - 4)?

• D = [4, ∞)
• D = [0, ∞)
• D = (-∞, ∞)
• D = (-∞, 5]

How are the domain and range of a function related?

• They are not related
• They are always the same
• They are always different
• They can be the same or different

What is the range of a function?

• The set of all real numbers
• The set of all positive real numbers
• The set of all possible output values
• The set of all possible input values

Which of the following is NOT a correct example of a function?

• j(x) = √x
• f(x) = x^2
• g(x) = 1/(x - 2)
• h(x) = log(x)

What is the range of the function h(x) = log(x)?

• R = (-∞, ∞)
• R = [0, ∞)
• R = [4, ∞)
• R = (-∞, 5]

What is the domain of the function g(x) = √(x - 4)?

• D = (-∞, ∞)
• D = [0, ∞)
• D = [4, ∞)
• D = (-∞, 5]

How is the range of a function denoted?

• range(f)
• dom(f)
• R
• D

What is the domain of the function f(x) = 2x + 3?

• D = (-∞, 5]
• D = [4, ∞)
• D = [0, ∞)
• D = (-∞, ∞)