Do any two different functions exist that cannot be simplified to the same form but generate the same graph?
In: Mathematics
No. The mathematical definition of a graph of a function f is the set of ordered pairs (x,f(x)) for all x in the domain. If you have another graph (x,g(x)), and you can show that (x,f(x))=(x,g(x)), then this can be simplified to show that f(x)=g(x).
Latest Answers