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

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=(1-0)/(-3-(-1)) \\ m=(1)/(-3+1) \\ m=(1)/(-2) \\ m=-(1)/(2) \end{gathered}`

Hence the answer is

`-(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