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 graph that shows unrelated data points.
B
A rule that assigns each input exactly one output.
C
A table that lists random values for inputs and outputs.
D
A process that assigns multiple outputs to a single input.
Verified step by step guidance1
Understand the definition of a function: In mathematics, a function is a rule or relationship that assigns exactly one output to each input. This is a key concept in calculus and is foundational for understanding how variables interact in business scenarios.
Analyze the options provided: Review each option to determine whether it aligns with the definition of a function.
Option 1: 'A graph that shows unrelated data points' - This does not describe a function because a function requires a specific relationship between inputs and outputs, not unrelated data.
Option 3: 'A table that lists random values for inputs and outputs' - This also does not describe a function because the values are random and do not follow a rule that assigns one output to each input.
Option 4: 'A process that assigns multiple outputs to a single input' - This violates the definition of a function, as a function must assign exactly one output to each input. Therefore, the correct answer is: 'A rule that assigns each input exactly one output.'
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