Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
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
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.
Compare the given options: Analyze each term provided in the problem to determine which one aligns with the definition of a function.
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.
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.
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.'