John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 7, 2023
Calculus

Squeeze Theorem: Exploring Scenarios and Conditions for Squeezed Functions in Math

Let ff be a function of xx. The value of limx→af(x)limx→af(x) can be found using the squeeze theorem with the functions gg and hh. Which of the...

John Rhodes
July 7, 2023
Calculus

Determining the Behavior and Limit of f(x) as x Approaches 2

The function gg is given by g(x)=7x−26x−5g(x)=7x−26x−5. The function hh is given by h(x)=3x+142x+1h(x)=3x+142x+1. If ff is a function that satisfies g(x)≤f(x)≤h(x)g(x)≤f(x)≤h(x) for 0

John Rhodes
July 7, 2023
Calculus

Determining the Limit of a Function as x Approaches 5: Statement Analysis

The function ff is defined for all xx in the interval 4<x<64<x<6. Which of the following statements, if true, implies that limx→5f(x)=17limx→5f(x)=17 ? To determine which of...

John Rhodes
July 7, 2023
Calculus

Solving for the Limit of f(x) as x Approaches 4 Using the Product Rule

Let ff and gg be functions such that limx→4g(x)=2limx→4g(x)=2 and limx→4f(x)g(x)=πlimx→4f(x)g(x)=π. What is limx→4f(x)limx→4f(x) ? To solve this problem, we need to apply the limit property known...

John Rhodes
July 7, 2023
Calculus

The Limit of a Function as x Approaches 1: Exploring the Limitation of f(x) = 1/(x – 1)

If ff is the function defined by f(x)=1x−1x−1f(x)=1x−1x−1, then limx→1f(x)limx→1f(x) is equivalent to which of the following? To find the limit of a function, we substitute the...

John Rhodes
July 7, 2023
Geometry

Mastering the Properties, Formulas, and Calculations of Squares

square A square is a regular quadrilateral with four equal sides and four equal angles A square is a regular quadrilateral with four equal sides and four...

John Rhodes
July 7, 2023
Geometry

Understanding Rectangles: Properties, Perimeter, Area, Diagonals, and More

rectangle A rectangle is a geometric shape that has four sides and four right angles A rectangle is a geometric shape that has four sides and four...

John Rhodes
July 7, 2023
Geometry

Exploring the Properties and Formulas of a Rhombus: Everything You Need to Know

rhombus A rhombus is a quadrilateral with all sides of equal length A rhombus is a quadrilateral with all sides of equal length. It is also a...