John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Understanding Removable Discontinuity in Functions: Definition, Example, and Notation

Removable Discontinuity also known as holes (common factor in numerator and denominator) A removable discontinuity, also known as a removable singularity, is a type of discontinuity that...

John Rhodes
June 21, 2023
Calculus

Understanding Jump Discontinuity: Definition, Examples, and Applications in Mathematics and Physics.

Jump Discontinuity occurs when function has 2 ends that don’t meet even if hole is filled in (often piecewise functions) Jump discontinuity is a type of discontinuity...

John Rhodes
June 21, 2023
Calculus

Understanding Infinite Discontinuity in Mathematics: Explained with Examples

Infinite Discontinuity occurs when a function has a vertical asymptote on one or both sides of an x-value An infinite discontinuity occurs when the limit of a...

John Rhodes
June 21, 2023
Calculus

Understanding Continuous Functions: Definition, Types, and Importance in Mathematics and Science

Continuous function never have to lift my pencil A continuous function is a mathematical function that has no sharp jumps or breaks in its graph. That is,...

John Rhodes
June 21, 2023
Calculus

Understanding End Behavior of Mathematical Functions: Insights and Characteristics

End behavior how a graph behaves as it approaches positive or negative infinity End behavior refers to the behavior of a mathematical function as its input variable...

John Rhodes
June 21, 2023
Calculus

Maximizing Your Calculus Potential with the Intermediate Value Theorem

Intermediate Value Theorem if f(x) is continuous on [a,b], then there will be a point x=c that lies in between [a,b] The Intermediate Value Theorem (IVT) is...

John Rhodes
June 21, 2023
Calculus

How to Approximate Zeros or Roots of a Function: Steps and Methods

Approximating zeros If the sign of the function value (y) changes between consecutive integers, there must be a zero between them Approximating zeros or roots of a...

John Rhodes
June 21, 2023
Calculus

Understanding Average Rate of Change in Math: Definition and Examples

average rate of change f(b)-f(a)/b-a The average rate of change refers to the slope of a line that connects two points on a graph of a function...