John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

How to Add Constant Value Inside a Function | Math Tutorial for Beginners

Adding inside the function, f(x) = (x + 3)² moves left To add inside the function f(x) = (x + 3)², you need to modify the equation...

John Rhodes
June 21, 2023
Calculus

Subtracting Inside the Function: Simplifying Mathematical Expressions with Examples

Subtracting inside the functionf(x) = 2(x -3)² moves right To subtract inside the function f(x) = 2(x -3)², we can perform the subtraction inside the parentheses first...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: Four Effective Methods to Evaluate Limits

4 Ways to Evaluate a Limit 1. plug in the value of c into the expression2. factor and cancel3. multiply by the conjugate4. two special limits Evaluating...

John Rhodes
June 21, 2023
Calculus

Understanding the Fundamental Concept of Continuity in Mathematics: Definition and Conditions Explained

Definition of Continuity If1. lim x→c f(x) exists.2. f(c) exists.3. lim x→c f(x) = f(c)then f(x) is continuous at c. In mathematics, continuity is a fundamental concept...

John Rhodes
June 21, 2023
Calculus

How the Intermediate Value Theorem Works to Find Solutions to Equations

Intermediate Value Theorem (IVT) If a function is continuous on an interval [a, b] and k is a value between f(a) and f(b) then there will be...

John Rhodes
June 21, 2023
Calculus

Proving the Existence of Function Roots & Intercepts: A Step-by-Step Guide Using the Intermediate Value Theorem

How To Use the IVT 1. Show that f(x) is continuous on [a, b]2. Show that k is between f(a) and f(b)3. State by the IVT, there...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus Limits: Understanding the Fundamental Limits of 1/x and sin(x)/x

Two Special Limits 1. lim x→ 0 (sinx/x) = 12. lim x→ 0 ([1-cosx]/x) = 0 1. The limit as x approaches infinity of 1/x is equal...

John Rhodes
June 21, 2023
Calculus

Master the Basics: Understanding the Limit Definition of Derivative in Calculus

Limit Definition of Derivative f'(x) = lim h→0 ([f(x+h)-f(x)]/h) The limit definition of derivative is a mathematical expression that defines the derivative of a function at a...