Table of contents
- 0. Functions4h 53m
- 1. Limits and Continuity2h 2m
- 2. Intro to Derivatives1h 33m
- 3. Techniques of Differentiation2h 18m
- 4. Derivatives of Exponential & Logarithmic Functions1h 16m
- 5. Applications of Derivatives2h 19m
- 6. Graphical Applications of Derivatives6h 0m
- 7. Antiderivatives & Indefinite Integrals48m
- 8. Definite Integrals4h 36m
- 9. Graphical Applications of Integrals1h 43m
- 10. Integrals of Inverse, Exponential, & Logarithmic Functions21m
- 11. Techniques of Integration2h 7m
- 12. Trigonometric Functions6h 54m
- Angles29m
- Trigonometric Functions on Right Triangles1h 8m
- Solving Right Triangles23m
- Trigonometric Functions on the Unit Circle1h 19m
- Graphs of Sine & Cosine46m
- Graphs of Other Trigonometric Functions32m
- Trigonometric Identities52m
- Derivatives of Trig Functions42m
- Integrals of Basic Trig Functions28m
- Integrals of Other Trig Functions10m
- 13: Intro to Differential Equations2h 23m
- 14. Sequences & Series2h 8m
- 15. Power Series2h 19m
- 16. Probability & Calculus45m
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
In the context of business calculus, which term best describes a rule that assigns to each element in a set exactly one element in another set?
A
Equation
B
Sequence
C
Variable
D
Function

1
Understand the definition of a function: In mathematics, a function is a rule that assigns to each element in a set (called the domain) exactly one element in another set (called the codomain). This is a key concept in calculus and business calculus.
Compare the given options: Analyze each term provided in the problem to determine which one aligns with the definition of a function.
Option 1 - Equation: An equation is a mathematical statement that asserts the equality of two expressions. While equations can describe functions, they are not the same as the concept of a function itself.
Option 2 - Sequence: A sequence is an ordered list of numbers or terms, often following a specific rule. It does not describe the assignment of elements between two sets as a function does.
Option 3 - Variable: A variable is a symbol used to represent a quantity that can change. It is not a rule that assigns elements between sets. Therefore, the correct term that matches the definition is 'Function.'
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