The function nbsp-y nbsp- nbsp-f-x- nbsp-is symmetric about the line nbsp-

In the function nbsp;y=f(|x|), x nbsp; can take any value. But nbsp;|x| nbsp;will give same output for positive and negative values of x. nbsp; ⇒f(x)= ...

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Standard XII

Mathematics

f(x) Transforms to |f(x)|

The function ...

Question

The function $y = f (| x |)$ is symmetric about the line

x = 0

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y = 0

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y = x

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y = - x

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Solution

The correct option is A $x = 0$
In the function $y = f (| x |)$ ,
$x$ can take any value.
But $| x |$ will give same output for positive and negative values of x.
$\Rightarrow f (x) = f (- x)$
Hence, the graph will be symmetric about y-axis or the line x = 0.

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The function y = f(|x|) is symmetric about the line

The correct option is A x=0In the function y=f(|x|), x can take any value. But |x| will give same output for positive and negative values of x. ⇒f(x)=f(−x) Hence, the graph will be symmetric about y-axis or the line x = 0.

The function $y = f (| x |)$ is symmetric about the line

The correct option is A $x = 0$
In the function $y = f (| x |)$ ,
$x$ can take any value.
But $| x |$ will give same output for positive and negative values of x.
$\Rightarrow f (x) = f (- x)$
Hence, the graph will be symmetric about y-axis or the line x = 0.