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Functions

Which of the following are functions?

1. f(x) = 2 if x > 1 otherwise f(x) = -1

2. f(x) = 5 if x > 0 or f(x) = -5 if x < 0 or f(x) = 5 or -5 if x = 0

3. f(x) = x/10

Solution Preview

To understand the definition of a function f, we only need to guarantee that for each x in the domain, f(x) is unique.
Based on this rule, we can do the following ...

Solution Summary

This shows how to determine if given statements are functions.

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