(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If the domain of f is restricted to the open interval (-pi/2,pi/2), then the range of f(x) = e^(tanx) is

A) the set of all reals

b the set of positive reals

c the set of nonnegative reals

d R: (0,1]

e none of these

(from barron's How to prep for ap calc)

2. Relevant equations

Above

3. The attempt at a solution

Range of tanx is all real numbers. The range for e^(x) for all real numbers is positive reals. The answers must be b or c

Conflict

The answer sheet states that b is the correct answer. How come? isn't b and c the same? What's the difference between all positive reals and all non negative reals?

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# Nonneg vs. Postive real numbers

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