Range of exponential functions

Algebra Level 3

Find the range of the function f ( x ) = e x − ⌊ x ⌋ \large f(x) = e^{x - \lfloor x \rfloor } for real x x .

Notation : ⌊ ⋅ ⌋ \lfloor \cdot \rfloor denotes the floor function .

( 1 , e ] (1,e] [ 1 , e ) [1,e) [ 1 , e ] [1,e] ( 1 , e ) (1,e)

Rishav Koirala by Rishav Koirala , 22, Singapore

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1 solution

Deepak Kumar
Jul 8, 2016

{x} lies in [0,1) & e^x is an increasing function.hence range is [e^0,e^1)

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