Identifying a Function by Its Properties (a) Seven of the

Chapter 1, Problem 1.251

(choose chapter or problem)

Identifying a Function by Its Properties

(a) Seven of the twelve basic functions have the property that f(0) = 0. Which five do not?

(b) Only one of the twelve basic functions has the property that \(f(x+y)=f(x)+f(y)\) for all x and y in its domain. Which one is it?

(c) One of the twelve basic functions has the property that f(x+y)=f(x) f(y) for all x and y in its domain. Which one is it?

(d) One of the twelve basic functions has the property that f(x y)=f(x)+f(y) for all x and y in its domain. Which one is it?

(e) Four of the twelve basic functions have the property that \(f(x)+f(-x)=0\) for all x in their domains. Which four are they?

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