(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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Nonneg vs. Postive real numbers

**Physics Forums | Science Articles, Homework Help, Discussion**