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 table that lists all possible input and output pairs without any specific rule.
B
A relationship that assigns exactly one output value to each input value from a given set.
C
A calculation that only uses constant values and does not depend on any input.
D
A process that randomly matches inputs to multiple outputs.
Verified step by step guidance1
Step 1: Understand the definition of a function in the context of calculus. A function is a relationship where each input (from the domain) is assigned exactly one output (from the range). This is a key concept in calculus and is foundational for understanding how variables interact in mathematical models.
Step 2: Analyze the options provided in the problem. Eliminate any options that do not align with the definition of a function. For example, a table listing all possible input-output pairs without a specific rule does not meet the criteria of a function because it lacks a defined relationship.
Step 3: Consider the option that describes a calculation using only constant values. This does not depend on any input and therefore does not represent a function, as a function requires a relationship between inputs and outputs.
Step 4: Evaluate the option describing a process that randomly matches inputs to multiple outputs. This violates the definition of a function, as a function must assign exactly one output to each input.
Step 5: Conclude that the correct answer is the option stating 'A relationship that assigns exactly one output value to each input value from a given set,' as this aligns with the formal definition of a function in calculus.
1:37mWatch next
Master Introduction to Business Calculus Channel with a bite sized video explanation from Patrick
Start learning
