The symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.
The given function is [tex]f(x)=|x|[/tex].
The function can be defined as,
[tex]f(x)=x;\;\;x\geq0\\f(x)=-x;\;\;x<0[/tex]
The function will always give the positive value of y or f(x) for all values of x.
The graph of the function is in the shape of V which is symmetric about the y-axis.
See the attached image.
Therefore, the symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.
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