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Math Help - Function within a Function

  1. #1
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    Function within a Function

    I am not familiar with the a graph that looks to be a function within a function.

    I have a graph that looks to be a sine curve, but the ending points look to be travelling towards a distinct point. If u take a slope of the tangants on this area of this curve, the slope seems to reach an infinity/undefined slope.

    Is there a way I can prove this to be a function within a function? I know there is a certain curve that has these similar propoertties, in which there is a 1 period of a sine curve, whose ending points are connected by downward sloping line segments.

    But how would I prove any graph to be a function within a function, especially a trigonometric function within a function.

    Thanks!
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  2. #2
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    pickslides's Avatar
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    It could easily be something like

    y = \sin(x)+mx+c

    or

     y = \sin(x)+e^x

    or it may also be, as you suggest be a composite function. Giving us a look at it won't hurt.
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