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Question

Is the function $f (x) = K$ , where $K$ is constant, even or odd
odd
neither even nor odd
even
even for some values of $x$

A

neither even nor odd

B

even

C

odd

D

even for some values of

x

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Solution

Verified by Toppr

$f (x) = K$
Now, $f (- x) = K =$
$\Rightarrow f (- x) = f (x)$
Hence, $f$ is even.
Also, $- f (x) = - K$
Here, $f (- x) \neq - f (x)$
Hence, $f$ is not an odd function.

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