odd

even

both even and odd

neither even nor odd

(0, 1)

$$\left[ {0,{1 \over 2}} \right]$$

$$\left( {0,{1 \over 2}} \right)$$

[0, 1]

tan[f(x)], where [ . ] is the greatest integer function, and $${1 \over {f(x)}}$$ are both continuous.

tan[f(x)], where [ . ] is the greatest integer function, and f^$$-$$1(x) are both continuous.

tan[f(x)], where [ . ] is the greatest integer function, and $${1 \over {f(x)}}$$ are both discontinuous.

tan[f(x)], where [ . ] is the greatest integer function is discontinuous but $${1 \over {f(x)}}$$ is continuous

None of the above