b. Function as Object

Please read the essay on this web site entitled "Functions - objects & actions"

From a certain perspective the fundamental object of a great deal of mathematics is the function. There are operations such as addition, multiplication and differentiation on functions viewed as objects. Functions, on numbers - both real and complex, are objects that can be transformed by such transformations as translation, dilation and reflection.

[In a different section we will consider functions on the domain of shapes.]

Operations
 
Function Table Builder
 
Function as Object - operations on functions  I


Function as Object - operations on functions  II
 
Translating f(x)  to the right by A produces f(x-A) ???
 
numerical example for algebraic tessellations
 
Algebraic Tessellations
 
Round trips in maths; non-invertable operations 

Transformations
 
Function as Object - transformation on functions
 
Composition  - same as Translation, Dilation, Reflection ?
 
Function as Object - how they change


Function as Object - how they change II

 
Function attribute explorer

An imposter function
 

Composition

Composing with Exponential & Logarithmic Functions
 
How are the graphs of f and f_inverse
related?

 
 
  

Roots

What do you now know more about?
What surprised you?
What would you like to know more about?

Judah L. Schwartz


Creative Commons License
mathMINDhabits by Judah L. Schwartz is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.