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storygeek
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Homework Statement
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)
Homework Equations
Above
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?