Barrons AP Calculus - David Bock

FIGURE N1–4c

FIGURE N1–4d
Note that graph (c) of y = − f (x) is the reflection of y = f (x) in the x-axis, whereas graph (d) of y
= f (−x) is the reflection of y = f (x) in the y-axis. How do the graphs of |f (x)| and f (|x|) compare
with the graph of f (x)?

EXAMPLE 9
Let f (x) = x^3 − 3 x^2 + 2. Graph the following functions on your calculator in the window [−3,3] ×
[−3,3]: (a) y = f (x); (b) y = |f (x)|; (c) y = f (|x|).
SOLUTIONS:
(a) y = f (x)
See Figure N1–5a.