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Could the Graph Below Be the Graph of the Parametric x=et,y=tx=e^{t}, y=t

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Could the graph below be the graph of the parametric equations x=et,y=tx=e^{t}, y=t ? Assume the parameter is restricted to values for which the functions are defined.
 Could the graph below be the graph of the parametric equations  x=e^{t}, y=t  ? Assume the parameter is restricted to values for which the functions are defined.

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