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The graph of the function y=f(x) is show...

The graph of the function `y=f(x)` is shown.

Find the number of solutions to the equation `||f(x)|-1|=(1)/(2)`.

Text Solution

Verified by Experts

We have `||f(x)|-1|=(1)/(2)`
From the given graph, first obtain the graph of `||f(x)|-1|` in the following steps.
Step 1:
Graph of `y=|f(x)|`

Step 2 :
Graph of `y=|f(x)|-1`

Step 3 :

Now the line `y=1//2` meets the above graph in eight points, hence the number of solutions is 8.
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