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Is x|x| one one ?
How?

Drake , 10 Years ago
Grade 12
anser 1 Answers
Jitender Singh

Last Activity: 10 Years ago

Ans:
f(x) = x|x|
f(x) = -x^{2}, x< 0
= x^{2}, x\geq 0
Now, you draw the graph of f(x).
Horizontal parallel line method:
Draw a line parallel to x-axis.
Line cuts the graph at only one point.
So, f(x) is one-one not mony-one
Vertical parallel line method:
Draw a line parallel to y-axis.
Line cuts the graph at only one point.
So, f(x) is one-one not one-many.
Thanks & Regards
Jitender Singh
IIT Delhi
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