Use the points A, B, C, D, and E in the graph to the right to answer the followi

Question

Use the points A, B, C, D, and E in the graph to the right to answer the following questions. a. At which point(s) is the slope of the curve negative? b. At which point(s) is the slope of the curve positive? c. Using A-E, list the slopes in decreasing order. which is far from falls at an increasing then decreasing rate through point B to a local minimum, which is just to the left of the local minimum through point C, where point C is just to the right of the local minimum, then rises at a decreasing rate to another local maximum a. Choose the correct answer below. D, E B, D, E A, C B, C, E b. Choose the correct answer below A, B, C A, B, C, E B, D, E A, C c. The slopes in decreasing order are

Explanation / Answer

As you know, A and C have positive slope while BDEhave negative slopes.

Magnitude of the slope can be determined from tan(angle it makes with x axis)

Thus, greater is value as the slope becomes steeper, angle becomes close to 90.

Hence, A>C>B>D>E considering the sign of the slopes as well.

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