> When X is 2, you have one of the most important functions in the family of functions that display exponential growth. It is the one in which the exponent is 0.
This is technically correct, but also purely academic. If I called the function f(X) = 5 in an analysis exam "exponential", then I would be laughed out of this exam, and for a good reason.
> This is really weird phrasing, since you're on much stronger ground saying "not growth" [arguable] than you are "not exponential" [flat wrong].
"not A" implies "not (A and B)". That's all I meant.
> If I called the function f(X) = 5 in an analysis exam "exponential", then I would be laughed out of this exam
That's not true at all; you'd have to look at the context. If you called it an exponential function as part of a discussion of exponential functions, you'd raise no eyebrows.
Even if you were doing it in a weird way, it's unlikely you'd get laughed out of the room; math exams are not known for penalizing you for being correct.
This is technically correct, but also purely academic. If I called the function f(X) = 5 in an analysis exam "exponential", then I would be laughed out of this exam, and for a good reason.
> This is really weird phrasing, since you're on much stronger ground saying "not growth" [arguable] than you are "not exponential" [flat wrong].
"not A" implies "not (A and B)". That's all I meant.