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Multiple 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 guidance
1
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.'