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
- Derivatives of Exponential & Logarithmic Functions
  1h 16m
5. Applications of Derivatives2h 19m
6. Graphical Applications of Derivatives6h 0m
7. Antiderivatives & Indefinite Integrals48m
- Antiderivatives
  17m
- Indefinite Integrals
  31m
8. Definite Integrals4h 36m
9. Graphical Applications of Integrals1h 43m
- Area Between Curves
  1h 19m
- Introduction to Volume & Disk Method
  23m
10. Integrals of Inverse, Exponential, & Logarithmic Functions21m
- Integrals of Exponential Functions
  14m
- Integrals Involving Logarithmic Functions
  7m
11. Techniques of Integration2h 7m
- Integration by Parts
  1h 37m
- Improper Integrals
  29m
12. Trigonometric Functions6h 54m
13: Intro to Differential Equations2h 23m
14. Sequences & Series2h 8m
15. Power Series2h 19m
- Power Series & Taylor Series
  2h 19m
16. Probability & Calculus45m
- Continuous Probability Models
  45m

0. Functions

Introduction to Functions

Business Calculus

0. Functions

Introduction to Functions

Previous problemNext problem

Struggling with Business Calculus?

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

Which of the following best describes a function in the context of mathematics?

A set of numbers arranged in ascending order.

A relation that assigns exactly one output to each input from a given set.

A collection of activities and elements organized to accomplish a goal.

A process of multiplying two numbers together.

Previous problemNext problem

Verified step by step guidance

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.