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Question

Find the graph of |y|=e|x|1


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


We will draw the graph of e|x|1 first and then do the transformation |y|=e|x|1. Our basic graph

is y=ex

(i) exex

(ii) exex1

(iii) ex1e|x|1

We got the graph of y=e|x|1

To get |y|=e|x|1, we first drop the part below x-axis (|y|0).

But e|x|1 is always less than zero except at x=0. So the graph of |y|=e|x|1 will exist only at x=0.

So the graph will be just the point (0,0).


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