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
Which of the following best describes a function in the context of mathematics?
A
A set of numbers arranged in ascending order.
B
A relation that assigns exactly one output to each input from a given set.
C
A collection of activities and elements organized to accomplish a goal.
D
A process of multiplying two numbers together.

1
Step 1: Understand the definition of a function in mathematics. A function is a relation where each input from a given set (domain) is assigned exactly one output in another set (range).
Step 2: Analyze the options provided in the problem. Look for the one that aligns with the definition of a function.
Step 3: Eliminate options that do not match the definition. For example, 'a set of numbers arranged in ascending order' does not describe a function, as it does not involve input-output relationships.
Step 4: Similarly, 'a collection of activities and elements organized to accomplish a goal' and 'a process of multiplying two numbers together' do not align with the mathematical definition of a function.
Step 5: Identify the correct option: 'A relation that assigns exactly one output to each input from a given set,' as it matches the precise definition of a function in mathematics.
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