John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Functions In Mathematics: The Definition, Examples, And The Vertical Line Test

what makes an equation a function vertical line test (every input only has exactly one output) An equation is called a function if for every input (also...

John Rhodes
June 21, 2023
Calculus

Discovering If A Function Has An Inverse: The Importance Of Injectivity And Surjectivity In Math

how to know if a function has an inverse horizontal line test There are different ways to determine if a function has an inverse, but one common...

John Rhodes
June 21, 2023
Calculus

Mastering One-To-One Functions: Tips And Techniques For Analysis And Optimization

how to know if a function is one to one passes both horizontal and vertical line test (every input has its own output) A function is considered...

John Rhodes
June 21, 2023
Calculus

How To Find The Inverse Of A Function – Step By Step Guide And Example

how to find the inverse of a function switch x and y and solve for y To find the inverse of a function, follow these steps: 1....

John Rhodes
June 21, 2023
Calculus

Proving Function Inverses: A Step-By-Step Guide With Example Equations

how to prove two functions are inverses plug inverse function into original function and see if it solves for x To prove that two functions are inverses,...

John Rhodes
June 21, 2023
Calculus

Mastering Mathematical Transformations: Equations For Translation, Reflection, Rotation, And Dilation

equation for transformations (y-a)/c = f(x-b)/d In mathematics, a transformation is a process that changes the position, shape, or size of an object. Transformations are commonly used...

John Rhodes
June 21, 2023
Calculus

How To Use The Chain Rule To Find The Derivative Of F(G(X)) With Respect To X.

If g(x)=lnx and f is a differentiable function of x, which of the following is equivalent to the derivative of f(g(x)) with respect to x ? Correct....

John Rhodes
June 21, 2023
Calculus

Using The Chain Rule To Find Derivatives Of Composite Functions

For which of the following functions is the chain rule an appropriate method to find the derivative with respect to x ?y=sin(3×2)y=extanxy=18×4−2x Correct. Each of the functions...