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Real Valued Functions

Range of func...

Question

Range of function $y = {log}_{2} (sin x)$ is :

(- \infty, 0)

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(0, \infty)

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(- \infty, 0]

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R

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Solution

The correct option is C $(- \infty, 0]$
For function to be defined, $sin x \in (0, 1]$
$∴ {log}_{2} (sin x) \in (- \infty, 0]$
So, range is $(- \infty, 0]$

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