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What is the rate of change from x = 0 to x = pi over 2?

 

trig graph with points at 0, negative 4 and pi over 2, 0 and pi, 4 and 3 pi over 2, 0 and 2 pi, negative 4

 

Choices:

8 over pi

pi over 8

negative 8 over pi

negative pi over 8

 
Guest Aug 9, 2017
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I think the points on the graph are:

(0, negative 4) and (pi over 2, 0) and (pi, 4) and (3 pi over 2, 0 ) and (2 pi, negative 4)

 

There is the point (0, -4)  .  So, when  x = 0  ,  y = -4  .

 

There is the point (\(\frac{\pi}{2}\), 0)  .  So, when  x = \(\frac{\pi}{2}\)  ,  y = 0  .

 

average rate of change  =  \(\frac{\text{change in y}}{\text{change in x}}=\frac{-4 - 0}{0 - \frac{\pi}{2}}=\frac{4}{\frac{\pi}{2}}=4\cdot\frac2{\pi}=\frac8{\pi}\)

 

Here's a graph.

 
hectictar  Aug 10, 2017

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