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Geometry Level pending

Which of the following could be the function graphed above?

y = cot ⁡ ( x ) y=\cot(x) y = tan ⁡ ( x ) y=\tan(x) y = sin ⁡ ( x ) y=\sin(x) y = cos ⁡ ( x ) y=\cos(x)

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Gabe Smith by Gabe Smith , 26, USA

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2 solutions

Eli Ross Staff
Oct 11, 2015

Note that y ( 0 ) = 0 , y(0) = 0, so this leaves y = sin ⁡ ( x ) y=\sin(x) and y = tan ⁡ ( x ) y=\tan(x) as the only possibilities. However, note that y y attains a maximum value of 1, so it must be y = sin ⁡ ( x ) . y=\sin(x).

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Amr Abdelnoor
Mar 25, 2016

Since the range of the function is between -1 and 1, therefore it is either a sine or a cosine. For the value of 0, the function is equal to 0, it is therefore a sine function.

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