Calculus | Senioritis

John Rhodes
July 31, 2023
Calculus

Understanding Relative Minimums | Calculus Example and Explanation

With respect to the derivative of f(x), when do relative minimums occur? In calculus, relative minimums occur in a function f(x) at points where the derivative of...

John Rhodes
July 31, 2023
Calculus

How to Determine When a Function is Increasing | A Step-by-Step Guide

With respect to its derivative, when is f(x) increasing? A function f(x) is said to be increasing in a given interval if its derivative f'(x) is greater...

John Rhodes
July 31, 2023
Calculus

How to Determine When a Function is Decreasing | A Step-by-Step Guide

With respect to its derivative, when is f(x) decreasing? A function f(x) is decreasing in an interval if its derivative, denoted as f'(x), is negative in that...

John Rhodes
July 31, 2023
Calculus

Understanding Constant Functions | Definition, Properties, and Graphing

f(x)=c / constant function A constant function is a type of function where the output value, denoted as f(x), is always the same regardless of the input...

John Rhodes
July 31, 2023
Calculus

Understanding Linear Functions | Exploring the Relationship between Input and Output

f(x)=x The expression given, f(x) = x, represents a linear function The expression given, f(x) = x, represents a linear function. In this case, the output (f(x))...

John Rhodes
July 31, 2023
Calculus

Exploring the Characteristics and Properties of the Quadratic Function f(x) = x²

f(x)=x² (quadratic) The given equation represents a quadratic function The given equation represents a quadratic function. A quadratic function is a polynomial function of degree 2, which...

John Rhodes
July 31, 2023
Calculus

Understanding the Basics of Cubic Functions | Degree, Shape, Symmetry, Intercepts, and Graphing

f(x)=x³ cubic The function f(x) = x³ is a cubic function The function f(x) = x³ is a cubic function. A cubic function is a type of...

John Rhodes
July 31, 2023
Calculus

Understanding the Absolute Value Function | Exploring f(x) = |x| and Its Applications in Mathematics

f(x)=|x| The function you have provided is f(x) = |x| The function you have provided is f(x) = |x|. This is known as the absolute value function....