0. Functions
Introduction to Functions
Struggling with Business Calculus?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Which of the following best describes a function in the context of business calculus?
A
A rule that assigns each input exactly one output.
B
A table listing possible outputs for any input.
C
A process that randomly matches inputs to multiple outputs.
D
A graph that shows only the outputs of a business process.
Verified step by step guidance1
Understand the definition of a function: In mathematics, a function is a rule or relationship that assigns each input (from the domain) exactly one output (in the range). This is a key concept in calculus and is foundational for business applications.
Eliminate incorrect options: A table listing possible outputs for any input does not necessarily define a function because it may not ensure that each input has exactly one output.
Eliminate incorrect options: A process that randomly matches inputs to multiple outputs violates the definition of a function, as a function must assign exactly one output to each input.
Eliminate incorrect options: A graph that shows only the outputs of a business process does not provide the necessary relationship between inputs and outputs, which is essential for defining a function.
Conclude: The correct description of a function is 'A rule that assigns each input exactly one output,' as it aligns with the mathematical definition of a function.
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