<p>If f(x)=x^3 - 4x^2 - 3x + 2 , which of the following statements are true?</p>
<p>I. The function f is increasing for x≥3.
II. The function f(x) = 0 has two nonreal solutions.
III. f(x) ≥ -16 for all x ≥ 0.</p>
<p>The answer is I & III, but how?</p>
<p>Graph it on your calculator :)</p>
<p>NVM I found it out.</p>
<p>-edit-</p>
<p>Well you find whether or not it’s increasing by finding the critical numbers and then using a line test on the first derivative.</p>
<p>For the third one find the range of f(0)-f(3). It’s above -16 and you already know the function is increasing after x = 3 from the first derivative test.</p>
<p>This is calculus though…are you using Baron’s to review or something? You could easily find this out by plugging it into a calculator though so if it appears on the test don’t freak.</p>