SOLUTION: How can you draw the graph of y = x* |x|? Thank you very much.

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: How can you draw the graph of y = x* |x|? Thank you very much.      Log On

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Question 160780: How can you draw the graph of y = x* |x|?
Thank you very much.
Found 2 solutions by Fombitz, nabla:
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
Let's look at the function values.
When x>0, x is positive, abs%28x%29 is positive, the functions looks like f%28x%29=x%5E2
When x>0, x is negative, abs%28x%29 is positive, the functions looks like f%28x%29=-x%5E2
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drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2Cgrid%28+1+%29%2C%0D%0A%0D%0Agraph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%2Aabs%28x%29%29%29+

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
The solution before mine is correct, but here is a more suitable graph.
graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+x%2Aabs%28x%29%29