Question - Analysis of Graphical Function Properties

a) The domain of \( f \):

\[ (-\infty, \infty) \]

b) The range of \( f \):

\[ [-6, 6] \]

c) The zeros of \( f \):

\[ x = -4, x = 0, x = 4 \]

d) \( f(-3.5) \):

\[ 1 \]

e) The intervals on which \( f \) is increasing:

\[ (-\infty, -2), (2, \infty) \]

f) The intervals on which \( f \) is decreasing:

\[ (-2, 2) \]

g) The values for which \( f(x) \leq 0 \):

\[ [-4, -2] \cup [0, 2] \cup [4, 6] \]

h) Any relative maxima or minima:

Relative maxima at \( x = -4, x = 4 \)

Relative minima at \( x = 0 \)

i) The value(s) of \( x \) for which \( f(x) = 3 \):

\[ x \approx -2.5, x \approx 2.5 \]

j) Is \( f(0) \) positive or negative?

Negative \[ f(0) = -6 \]