Multiple Choice
Which of the following best describes a function in the context of business calculus?
0. Functions
Introduction to Functions
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Which of the following best describes a function in the context of business calculus?
A
A table that lists random pairs of numbers.
B
A rule that assigns to each input exactly one output.
C
A calculation that always produces the same output regardless of input.
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 in its domain.
Analyze the options provided: Carefully read each option and compare it to the definition of a function.
Option 1: 'A table that lists random pairs of numbers' - This does not align with the definition of a function because the pairs are random and may not follow a consistent rule.
Option 3: 'A calculation that always produces the same output regardless of input' - This describes a constant function, but it does not encompass the general definition of a function.
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 Option 2: 'A rule that assigns to each input exactly one output.'
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