In the context of business calculus, which term best describes a rule that assigns to each element in a set exactly one element in another set?

• A. Equation
• B. Sequence
• C. Variable
• D. Function

Answer: (D)

Verified step by step guidance

1. Understand the definition of a function: In mathematics, a function is a rule that assigns to each element in a set (called the domain) exactly one element in another set (called the codomain). This is a key concept in calculus and business calculus.
2. Compare the given options: Analyze each term provided in the problem to determine which one aligns with the definition of a function.
3. Option 1 - Equation: An equation is a mathematical statement that asserts the equality of two expressions. While equations can describe functions, they are not the same as the concept of a function itself.
4. Option 2 - Sequence: A sequence is an ordered list of numbers or terms, often following a specific rule. It does not describe the assignment of elements between two sets as a function does.
5. Option 3 - Variable: A variable is a symbol used to represent a quantity that can change. It is not a rule that assigns elements between sets. Therefore, the correct term that matches the definition is 'Function.'