Using Graph to Find Range of a Function

Q. The range of $f\left(x\right)=\frac{3}{5+4sin3x}$ is

1. $[\frac{1}{3},3]$
2. $[\frac{1}{3},1]$
3. $[1,3]$
4. $(-\infty ,\frac{1}{3})\cup (3,\infty )$

Q. The range of the function $f\left(x\right)=|x-1|+|x-2|+|x+1|+|x+2|$ where, $xϵ[-2,2]$ is

1. $[2,4]$
2. $[6,8]$
3. $[0,4]$
4. $\{1,2\}$
   
   

Q.

The range of the expression $f\left(x\right)=3x^2-12x+5$ is

1. 

2. 

3. 

4. 

Q. Let $f\left(x\right)=\frac{x-\left[x\right]}{1+x-\left[x\right]},xϵR$, where [ x] denotes the greatest integer function. Then, the range of f is

1. $(0,1)$
2. $[0,\frac{1}{2})$
3. $[0,1]$
4. $[0,\frac{1}{2}]$