IIT JEE , AIEEE Forum - Mathematics , Algebra

Avinash_Bhat

The graph of y = f(x) is known. We need to sketch the graph of | y | = | f(x) |

Let us take an example:

We know the graph of y = sin x.

1. From this, it is easy to sketch the graph of y = | sin x |. Now from y = | sin x |, draw the graph for | y | = | sin x |.

2. From the graph of y = sin x, draw the graph for | y | = sin x and then from | y | = sin x, draw the graph for | y | = | sin x |.

There is a difference, isn't it?

When we use method 2, in the graph of | y | = sin x, sketches for :
.
.
.
-4(pie) to -3(pie)
-2(pie) to -(pie)
(pie) to 2(pie)
3(pie) to 4(pie)
.
.
.
vanish.

Is there any mistake in these?? Can anyone explain??
Which is the correct graph for | y | = | sin x |?

neeraj_agarwal_1990

y-->|y|

reject the lower part of the graph(below x-axis) and take the reflection of the upper half into lower half

y=f(x)--->y=|f(x)
take the reflection of lower half into upper half and THEN reject the upper half...

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