MCQ
The range of the function $\text{f(x)}=\frac{\text{x}}{|\text{x}|}$ is:
- AR - {0}
- BR - {-1, 1}
- C{-1, 1}
- DNone of these.
✓
Answer
- {-1, 1}
Solution:
$\text{f(x)}=\frac{\text{x}}{|\text{x}|}$
Let $\text{y}=\frac{\text{x}}{|\text{x}|}$
For x > 0, |x| = x
$\Rightarrow\text{y}=\frac{\text{x}}{\text{x}}=1$
For x < 0, = -x
$\Rightarrow\text{y}=\frac{\text{x}}{-\text{x}}=-1$
Thus, range of f(x) is {-1, 1}
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