<p>Answers are A and C.</p>
<ol>
<li><p>f is a constant function (e.g. f(x) = c for all real x) so it has slope 0.</p></li>
<li><p>Each arc is 1/6 of a circle of radius 3, so the length of each arc is (1/6)*(6pi) = pi. The shaded region has three of these arcs around its perimeter so the total perimeter is 3pi.</p></li>
</ol>
<p>So for question 1, does the difficulty lie in how the question was worded or the actual concept itself? It’s a level 5 question but the problem I had with it was how it was worded. What is the relevance of f(a) and f(b) to f(x)?</p>
<p>For question 2, how come you wouldn’t do 18 (the perimeter of the triangle) minus the circumference of these 3 arcs (3pi)?</p>
<p>Question 1 is basically saying, “no matter what two numbers a and b I pick, I’ll always get the same value when I apply f.” For example, you can let a = 0. Then for every b, f(b) = f(0) = constant.</p>
<p>The difficulty isn’t in the wording, it’s more of just grasping the concept intuitively and making the correct conclusion.</p>
<p>For problem 2, I honestly don’t understand your question. The circumference of the three arcs (3pi, see above) is exactly what you’re looking for.</p>