<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>
Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get
f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24
So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5
<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5
The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.
So the final answer is C) 3
The area of the shaded region is 
<h2>Area of composite objects</h2>
The area of the shaded region is expressed according to the formula:
Get the area of the square As
As = a²
Take the difference in the areas
Area of the shaded part = 
Area of the shaded part =
Hence the area of the shaded region is
Learn more on area of composite objects here: brainly.com/question/22716761
The Inner<span> and </span>Outer planets have<span> many things in </span>common, they both orbit around a star (In this case the star they orbit is the Sun) <span>All eight </span>planets<span> are round which make them similar.</span>
