Answer
(a) Domain - $[-4, 4]$, Range =$[-1, 3]$
(b) X-Intercepts = $y = f(x) = 0$, Gives $x = -1, 1$
y-intercept at $x = 0$, $y = -1$
(c) Symmetric with respect to y-axis
(d) $f(2) = 1$
(e) $x = -4, 4$
(f) $-1 < x < 1$
(j) Even function
(k) f is increasing for $x \epsilon [0, 4]$
Work Step by Step
(a) Domain - [-4, 4], Range = [-1, 3]
(b) X-Intercepts = $y = f(x) = 0$, Gives $x = -1, 1$
y-intercept at $x = 0$, $y = -1$
(c) Symmetric with respect to y-axis
(d) From graph $f(2) = 1$
(e) $f(x) = 3$ for $x = -4, 4$
(f) $f(x) < 0$
From graph $f(x) < 0$ for $-1 < x < 1$
h) Graph of $y = f(-x)$ will be the same
(j) Looking at graph we observe $f(-x) = f(x)$ So even function
(k) f is increasing for $x \epsilon [0, 4]$
