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Draw the graph of the function: f(x)=|x^...

Draw the graph of the function: `f(x)=|x^2-3|x|+2|`

Text Solution

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We have `y=f(x)=|x^(2)-3|x+2|`
Let `g(x)=x^(2)-3x+2`
Then `f(x)=|g(|x|)|`
Graph of `y=g(x)=(x-1)(x-2)` is an upward parabola intersecting the x-axis at (1,0) and (2,0)

Now the graph of `y=g(|x|)=x^(2)-3|x|+2` is as follows.

Finally the graph of `y=|g(|x|)` is as follows.
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