Practice Problems (Maths): Function

Level – I

1. Find the domain of the following functions:

$ \displaystyle y= \sqrt{\frac{x-2}{x+1}} $

2. Find the range of the following functions:

(i) y = 2 + sinx

(ii) $ \displaystyle y = \frac{1}{2-cos3x} $

3. Find the period of the following, if exists:

(i) f(x) = sinx + {x} where {x} is fractional part of x

(ii) f(x) = tan3x + sin(x/3)

(iii) f(x) = e^3lnex-[3x]