How many functions
Algebra
Level
pending
Given that some functions are represented in the above graph on the x-y plane, what is the minimum amount of functions to create the above if the graph is to scale?
4
3
1
0
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1 solution
The answer is 0 because the graph can be of the form f ( x , y ) g ( x , y ) h ( x , y ) ⋯ = 0 where f , g , h , … are expressions containing x and y. A function is defined to be a 1 to 1 or a 1 to many mapping so technically the entire graph can be made of a single non-function hence 0.