Question

please help me solve the rest of this, I already found the box that is filled in with the green outline, but I don't know how to find the two empty boxes.

Answer 1

SOLUTION

The diagram below would be very helpful in answering the question

(a) to find f'(-2), we find the slope m of the line that I have made in red.

We use the points (-1, 0) and (-3, 1) we have

$\begin{gathered} m=\frac{1-0}{-3-(-1)} \\ m=\frac{1}{-3+1} \\ m=\frac{1}{-2} \\ m=-\frac{1}{2} \end{gathered}$

Hence the answer is

$-\frac{1}{2}$

(c) We should determine x, where f'(x) = 0

Now f'(x) = 0 at a where we call the maximum point. That is the highest point of the graph curved as "n" From the figure above we can see that at this point, y is 3, also tracing down to the x-axis plane, can see that x = 3

Hence the answer is x = 3