First slide

Introduction to real valued functions

Question

The graph of odd function is

Moderate

A

symmetric about origin
B

symmetric about y-axis
C

parallel to x-axis
D

parallel to y-axis

Solution

$f (- x) = - f (x)$
$\Rightarrow f (- x) = - y,$ This is obtained by replacing (-x, -y) for (x, y) in the original equation y = f(x). And (-x, -y) is the reflection of (x, y) in the origin.

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