Barrons AP Calculus

(a)

(b)

(c)

(d)

three zeros, since x^4 − 2x^2 = x^2 (x^2 − 2) equals zero if x = 0, + , or −.

B. SPECIAL FUNCTIONS

The absolute-value function f(x) = |x| and the greatest-integer function g(x) = [x]
are sketched in Figure N1–3.

Absolute    value

Greatest    integer

Figure  N1–3

Example 8 __

A function f is defined on the interval [−2, 2] and has the graph shown in Figure
N1–4.
Sketch the graph of y = |f (x)|.
Sketch the graph of y = f (|x|).
Sketch the graph of y = −f(x).
Sketch the graph of y = f(−x).