John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 7, 2023
Calculus

Calculating the Average Rate of Change for a Function: Definition, Formula, and Example

average rate of change of f(x) on [a, b] The average rate of change of a function f(x) on the interval [a, b] is a measure of...

John Rhodes
July 7, 2023
Calculus

The Importance and Applications of Continuity in Mathematics

definition of continuity In mathematics, continuity is a concept that describes the behavior of a function and its graph In mathematics, continuity is a concept that describes...

John Rhodes
July 7, 2023
Calculus

Understanding the Derivative: How the Rate of Change Shapes a Function

definition of derivative f'(. a) The derivative of a function f(x) at a particular point a, denoted as f'(a), represents the rate at which the function is...

John Rhodes
July 7, 2023
Calculus

The Fundamental Concept of Derivatives and their Importance in Calculus

definition of derivative f'(x) The derivative of a function f(x) at a point x is a fundamental concept in calculus The derivative of a function f(x) at...

John Rhodes
July 7, 2023
Calculus

Understanding the Absolute Value Function: Exploring the Distance from Zero on a Number Line

absolute value |x| The absolute value of a number, denoted by |x|, is a mathematical function that returns the distance of a number from zero on a...

John Rhodes
July 7, 2023
Calculus

The Significance of e in Mathematics: Exploring Euler’s Number, Natural Logarithm’s Base, and its Applications in Calculus and Exponential Growth

definition of e In mathematics, “e” is a mathematical constant approximately equal to 2 In mathematics, “e” is a mathematical constant approximately equal to 2.71828. It is...

John Rhodes
July 7, 2023
Calculus

Understanding the Absolute Value Function: Graphing Tips and Key Points

graph of absolute value To graph the absolute value function, we need to understand what it represents To graph the absolute value function, we need to understand...

John Rhodes
July 7, 2023
Calculus

Understanding Trigonometric Functions: Graphs of Sine, Cosine, and Tangent

graph of trig functions Trigonometric functions, also known as trig functions, are mathematical functions that relate angles to the ratios of sides in a right triangle Trigonometric...