Graphing |f(|x|)| from f(x)

Graphing |f(|x|)| from f(x) can be broken into two steps

f(x)=sinx



Step1 : f(|x|) from f(x)

Getting rid of the f(x) on negative X-Axis and f(x) = f(|x|) on the positive or right side of X-Axis.



Reflecting f(|x|) on the left side

f(|x|) Graph is below




Step2: Sketching |f(x)| using f(|x|)

i.e. reflecting the part of f(|x|) that is below the X-Axis , above the X-Axis




PS: |f(x)| = |f(|x|)) in this case, it may not true in all cases




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