JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

The range of the function

f

defined by

f(x)=\frac{e^x-e^{|x|}}{e^x+e^{|x|}}

View answer and explanation

Correct option: B

(-1,0]

The correct answer is B ((-1,0]) because the range of the function

f(x)=\frac{{e^x-e^{|x|}}}{{e^x+e^{|x|}}}

(-1,0]

, found by considering cases when

x \geq 0

and

x < 0

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