# Floor in the Function!

**Algebra**Level 3

Find the range of the following real valued function;

\[\large f(x)=\dfrac{2^x}{2^{\lfloor x\rfloor}}\]

**Notation**: \( \lfloor \cdot \rfloor \) denotes the floor function.

Find the range of the following real valued function;

\[\large f(x)=\dfrac{2^x}{2^{\lfloor x\rfloor}}\]

**Notation**: \( \lfloor \cdot \rfloor \) denotes the floor function.

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