Join thousands of students who trust us to help them ace their exams!
Multiple 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.
0 Comments
Verified step by step guidance
1
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.