Calculus | Senioritis

John Rhodes
July 6, 2023
Calculus

Understanding Increasing Functions: Definition, Examples, and Properties

Increasing function An increasing function, also known as a strictly increasing function, is a type of function that preserves the order of numbers An increasing function, also...

John Rhodes
July 6, 2023
Calculus

Understanding Even and Odd Functions in Mathematics: Properties and Examples

Even/odd/neither functions In mathematics, a function is said to be even if it exhibits a property called “evenness,” odd if it exhibits “oddness,” and neither if it...

John Rhodes
July 6, 2023
Calculus

Understanding Inverse Functions: A Comprehensive Guide to Finding and Verifying Inverse Functions in Mathematics

Inverse Functions Inverse functions are pairs of functions that “undo” each other Inverse functions are pairs of functions that “undo” each other. In other words, if you...

John Rhodes
July 6, 2023
Calculus

Math Function Decomposition: Understanding the Techniques and Applications

Decomposition of functions Decomposition of functions, also known as function decomposition, is the process of breaking down a complex function into simpler, more manageable parts Decomposition of...

John Rhodes
July 6, 2023
Calculus

Mastering the Composition of Functions: A Comprehensive Guide to Algebraic and Calculus Techniques

Composition of functions Composition of functions is an important concept in mathematics, particularly in the study of algebra and calculus Composition of functions is an important concept...

John Rhodes
July 6, 2023
Calculus

Understanding the Range of a Function: Exploring the Set of Possible Outputs in Mathematics

Range (aka Codomain) In mathematics, the range, also known as the codomain, refers to the set of all possible values that a function can output In mathematics,...

John Rhodes
July 6, 2023
Calculus

Understanding the Domain of Mathematical Functions: A Comprehensive Guide

Domain The domain is the set of all possible input values for a mathematical function The domain is the set of all possible input values for a...

John Rhodes
July 6, 2023
Calculus

The Mean Value Theorem: Connecting Average and Instantaneous Rates of Change in Calculus

Mean Value Theorem The Mean Value Theorem is a theorem in calculus that states that if a function f(x) is continuous on the closed interval [a, b]...