Graphing |f(x)| using f(x)

 f(x) is the output or the y-value of the function.

|f(x)| therefore implies the modulus of the function itself

Example


if f(x) =4. |f(x)| = 4

and if  f(x) = -4, then |f(x)| =4

Hence , |f(x)| must lie above the X-axis. All the negative part of f(x) is reflected above the X-Axis to get |f(x)|


f(x) = sinx



|f(x)| = |sinx|








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Example2: Graphing |f(|x|)|

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f(x) = |x|