Analysis of Graphical Function Properties
<p>a) The domain of \( f \):</p>
<p>\[ (-\infty, \infty) \]</p>
<p>b) The range of \( f \):</p>
<p>\[ [-6, 6] \]</p>
<p>c) The zeros of \( f \):</p>
<p>\[ x = -4, x = 0, x = 4 \]</p>
<p>d) \( f(-3.5) \):</p>
<p>\[ 1 \]</p>
<p>e) The intervals on which \( f \) is increasing:</p>
<p>\[ (-\infty, -2), (2, \infty) \]</p>
<p>f) The intervals on which \( f \) is decreasing:</p>
<p>\[ (-2, 2) \]</p>
<p>g) The values for which \( f(x) \leq 0 \):</p>
<p>\[ [-4, -2] \cup [0, 2] \cup [4, 6] \]</p>
<p>h) Any relative maxima or minima:</p>
<p>Relative maxima at \( x = -4, x = 4 \)</p>
<p>Relative minima at \( x = 0 \)</p>
<p>i) The value(s) of \( x \) for which \( f(x) = 3 \):</p>
<p>\[ x \approx -2.5, x \approx 2.5 \]</p>
<p>j) Is \( f(0) \) positive or negative?</p>
<p>Negative \[ f(0) = -6 \]</p>
