Mathematics | Senioritis

John Rhodes
July 7, 2023
Calculus

Understanding Vertical Asymptotes: Zero, One, and Multiple Vertical Asymptotes in Functions

How many vertical asymptotes can a function have? A function can have zero, one, or multiple vertical asymptotes A function can have zero, one, or multiple vertical...

John Rhodes
July 7, 2023
Calculus

Evaluating the Limit of f(x)/g(x) when limx→a g(x) = 0: Indeterminate and Non-Indeterminate Cases

If you’re trying to evaluate limx→a f(x)/g(x), and you first find that limx→a g(x) = 0, what else do you need to look at? If you find...

John Rhodes
July 7, 2023
Calculus

Understanding Discontinuities in Functions: Exploring Removable, Jump, and Infinite Discontinuities using Limits

What are the different kinds of discontinuities and how do we describe them using limits? There are three main types of discontinuities in functions: removable, jump, and...

John Rhodes
July 7, 2023
Calculus

Understanding Continuity in Mathematics: Explained with Conditions and Definitions

What does it mean for a function f(x) to be continuous at a point x = a in its domain? When a function f(x) is said to...

John Rhodes
July 7, 2023
Calculus

Understanding Average Velocity: Definition, Formula, and Calculation Steps for Math

How do we compute average velocity? To compute average velocity, we first need to understand the concept of velocity To compute average velocity, we first need to...

John Rhodes
July 7, 2023
Calculus

How to Calculate Average Speed in Mathematics: Step-by-Step Guide with Examples

How do we compute average speed? To compute average speed, you need to divide the total distance traveled by the time it took to travel that distance...

John Rhodes
July 7, 2023
Calculus

Understanding the Calculation of Derivatives: The Relationship Between Average and Instantaneous Rates of Change

Before we learned how to compute derivatives, which of the rates of change (average or instantaneous) were we able to compute? What was our strategy for “computing”...

John Rhodes
July 7, 2023
Calculus

Visualize Average Rate of Change: Step-by-Step Guide and Example Using a Graph

How can you visualize an average rate of change graphically? To visualize an average rate of change graphically, you can follow these steps: 1 To visualize an...