John Rhodes, Math Teacher at Senioritis.io

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]...

John Rhodes
July 6, 2023
Calculus

Understanding and Applying Rolle’s Theorem in Calculus: A Fundamental Theorem for Function Behavior

Rolle’s Theorem Rolle’s Theorem is a fundamental theorem in calculus that relates to the behavior of a differentiable function on a closed interval Rolle’s Theorem is a...

John Rhodes
July 6, 2023
Calculus

Discover the Power of the Extreme Value Theorem: Unveiling Maximum and Minimum Values in Calculus

Extreme Value Theorem The Extreme Value Theorem is a fundamental concept in calculus that relates to the existence of maximum and minimum values of a continuous function...