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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.

please help me solve the rest of this, I already found the box that is filled in with-example-1
User Alex Siri
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1 Answer

5 votes

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=(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

please help me solve the rest of this, I already found the box that is filled in with-example-1
User Bhavin Chauhan
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6.4k points