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Graph of y=ex...

Question

Graph of $y = e^{x} cos x$ is:

A

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B

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C

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D

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Solution

The correct option is D
$y = e^{x} cos x$
$cos x \in [- 1, 1] \Rightarrow y \in [- e^{x}, e^{x}]$
So, clearly the graph of $cos x$ oscillates in between $- e^{x}$ and $e^{x}$ , as can be seen in the figure below:

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