Don't we draw function graphs on a coordinate system that looks like a cross?

[miregal]

I've been looking at this book and saw this page:



I don't understand how a function graph is drawn like that, where is y and x axis?

 

[Dr.Peterson]

Don't we draw function graphs on a coordinate system that looks like a cross?

I don't understand how a function graph is drawn like that, where is y and x axis?

This is a different kind of representation of a function, which might be called a mapping diagram or arrow diagram, in which the bottom line is the domain and the upper line is the codomain. They explicitly distinguish this from a graph:



You can see a similar kind of diagram here:

Map (mathematics) - Wikipedia

en.wikipedia.org

Function - MathWord

Function A function is a special kind of a relation because each and every element in the domain is assigned to one element in the range. We can also say it this way: A function is a relation where each x-value in the domain is paired, associated, matched, or mapped to a unique y-value in […]

www.mathword.co

 

[jonah2.0]

Beer soaked query follows.

I've been looking at this book and saw this page:

View attachment 25091

I don't understand how a function graph is drawn like that, where is y and x axis?

What's the name of that book?

 

[miregal]

Beer soaked query follows.

What's the name of that book?

spivak calculus

 

[miregal]

This is a different kind of representation of a function, which might be called a mapping diagram or arrow diagram, in which the bottom line is the domain and the upper line is the codomain. They explicitly distinguish this from a graph:

View attachment 25093

You can see a similar kind of diagram here:

Map (mathematics) - Wikipedia

en.wikipedia.org

Function - MathWord

Function A function is a special kind of a relation because each and every element in the domain is assigned to one element in the range. We can also say it this way: A function is a relation where each x-value in the domain is paired, associated, matched, or mapped to a unique y-value in […]

www.mathword.co

thank you so much!

 

[jonah2.0]

Beer soaked ramblings follow.

spivak calculus

Which one?
Calculus 3e, Calculus On Manifolds, or the Hitchhiker's Guide to Calculus?

 

[miregal]

Beer soaked ramblings follow.

Which one?
Calculus 3e, Calculus On Manifolds, or the Hitchhiker's Guide to Calculus?

3rd edition