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Contents
Modulus
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Modulus
Form
y = |f(x)|
The parts of the graph above the x-axis is remains the same. The parts below the x-axis is reflected to above the x-axis.  Example:
Sketch the graph of y = x3 + x2 - 1, and hence
sketch the graph of y = |x3 + x2 - 1|.
Solution:
Graph
of y = x3 + x2 - 1:
Graph
of y = |x3 + x2 - 1|:
Form
y = f(|x|)
Say
you are given the following graph y = f(x).
To
get y = f(|x|),
1.
Retain the part of the graph on the positive x-axis.
2.
The part on the negative x-axis is a mirror reflection about the y-axis of
the part on the positive x-axis.
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