Calculus | Senioritis

John Rhodes
July 7, 2023
Calculus

Determining One-to-One Functions: Methods and Importance in Mathematics

One-to-One In mathematics, “one-to-one” refers to a function or a mapping between two sets where each element in the first set corresponds to exactly one element in...

John Rhodes
July 7, 2023
Calculus

Understanding the Range of Exponential Functions: Increasing vs. Decreasing & Parameter Values

range of exponential function The range of an exponential function depends on whether it is an increasing or decreasing function and the values of its parameters The...

John Rhodes
July 7, 2023
Calculus

Understanding the Domain of Exponential Functions: All You Need to Know

domain of exponential function The domain of an exponential function is the set of all real numbers for which the function is defined The domain of an...

John Rhodes
July 7, 2023
Calculus

Understanding Exponential Functions: Transformations and Their Impact on Graphs

exponential transformations involving a, h, and k-values When dealing with exponential functions, transformations can be applied to alter the shape, position, and scale of the graph When...

John Rhodes
July 7, 2023
Calculus

Understanding Logarithmic Functions: Properties, Examples, and Applications

logarithmic function A logarithmic function is a mathematical function that represents the logarithm of a variable A logarithmic function is a mathematical function that represents the logarithm...

John Rhodes
July 7, 2023
Calculus

Exploring Decay Functions: An In-depth Look at Exponential, Linear, and Quadratic Decay Equations and Their Applications

decreasing function (decay) A decreasing function, also known as a decay function, is a type of function that decreases as the input values increase A decreasing function,...

John Rhodes
July 7, 2023
Calculus

Understanding Increasing Functions: Exploring Mathematical Relationships where Output Values Rise with Input Variables

increasing function (growth) An increasing function, also known as a growing function or a function with positive slope, describes a mathematical relationship where the output values increase...

John Rhodes
July 7, 2023
Calculus

Understanding Asymptotes: Types and Applications in Mathematics

Asymptote In mathematics, an asymptote is a line or curve that a function approaches but never quite reaches as the input variable approaches a certain value or...