SOLUTION: Sketch one complete period of the graph of g(x)=sin(2piex). Label the x-intercepts and the local maximums and minimums.

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Question 149918: Sketch one complete period of the graph of g(x)=sin(2piex). Label the x-intercepts and the local maximums and minimums.

Answer by Edwin McCravy(6938) About Me  (Show Source):
You can put this solution on YOUR website!
one complete period of the graph of g%28x%29=sin%282pi%2Ax%29. Label the x-intercepts and the local maximums and minimums. 

The period of f%28x%29=A%2Asin%28Bx%29 is %282pi%29%2FB

For g%28x%29=sin%282pi%2Ax%29, the period = %282pi%29%2F%282pi%29=1,
the amplitude = abs%28A%29=abs%281%29=1 

drawing%28300%2C300%2C0%2C1%2C-2%2C2%2C%0D%0Aline%281%2F4%2C-.1%2C1%2F4%2C.1%29%2C+line%281%2F2%2C-.1%2C1%2F2%2C.1%29%2C+line%283%2F4%2C-.1%2C3%2F4%2C.1%29%2C%0D%0Aline%280%2C-.1%2C0%2C.1%29%2Cline%281%2C-.1%2C1%2C.1%29%2C+locate%28.235%2C-.15%2C1%2F4%29%2C+locate%28.485%2C-.15%2C1%2F2%29%2C%0D%0Alocate%28.01%2C-.15%2C0%29%2C+locate%28.735%2C-.15%2C3%2F4%29%2C+locate%28.985%2C-.15%2C1%29%2C%0D%0Agraph%28300%2C300%2C0%2C1%2C-2%2C2%2C+sin%286.283185307%2Ax%29%29%2C+locate%28.15%2C1.3%2C%27%281%2F4%2C1%29%27%29%2C+%0D%0Alocate%28.65%2C-1.1%2C%27%283%2F4%2C-1%29%27%29%2Clocate%280.02%2C1.13%2C%27%2B1%27%29%2Clocate%280.02%2C-.9%2C-1%29++%29

The three x-intercepts are (0, 0), (1%2F2, 0), and (1, 0)
The local maximum point is (1%2F4, 1}}}
The local minimum point is (3%2F4, -1}}}
 
Edwin