John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Squeeze Theorem: Simplify Limits of Functions with Sandwich Approach – A Guide to Using the Squeeze Theorem in Calculus

Squeeze or Sandwich Theorem The squeeze (or sandwich) theorem states that if f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must...

John Rhodes
June 21, 2023
Calculus

Discover the Math Behind The Equivalent of 1/Infinity to Zero

1/infinity 0 The expression 1/infinity is equivalent to zero. Mathematically, we can represent infinity using the symbol ∞. When we divide any number by ∞, the result...

John Rhodes
June 21, 2023
Calculus

Mastering Trigonometric Limits: Explore the Fundamental Sin(x)/x Limit for Precise Derivative Calculations

Basic trig limit lim as theta approaches 0 of sin theta over theta is 1 The basic trigonometric limit is as follows: As x approaches 0, sin(x)/x...

John Rhodes
June 21, 2023
Calculus

Understanding Continuous Functions and the Intermediate Value Theorem in Calculus

What does it mean when a function is continuous? Means we can draw the graph without lifting pencil from paper; no holes, breaks or jumps on intervalf(c)...

John Rhodes
June 21, 2023
Calculus

Understanding Vertical and Removable Discontinuities in Rational Functions.

Rational functions are continous at each point in their domain except when In P(x)/Q(x) when Q(x)=0 Rational functions are functions that can be written in the form...

John Rhodes
June 21, 2023
Algebra

Mastering Equivalent Ratios: A Key to Solving Proportions and Scaling Problems

equivalent ratios ratios that name the same comparison Equivalent ratios are ratios that have the same relationship between their numbers. In other words, they represent the same...

John Rhodes
June 21, 2023
Math Foundations

Understanding Ratios: A Mathematical Concept for Comparing and Predicting Quantities

ratio is an ordered pair of non-negative numbers, which are not both zero. Ratio is a mathematical concept that describes the relationship between two or more quantities,...

John Rhodes
June 21, 2023
Algebra

Mastering Proportional Relationships with Ratio Tables: A Guide to Comparing Quantities in Math

ratio table A table listing pairs of numbers that form equivalent ratios. A ratio table is a tool used to compare two quantities or values in a...