SOLUTION: explain why the graphs of y=x and y=(root x)^2 are not the same

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Question 212385This question is from textbook precalculus
: explain why the graphs of y=x and y=(root x)^2 are not the same This question is from textbook precalculus

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say that 'x' can be negative. So let's plug in x=-2

The first equation is simply y=-2 (after plugging in x=-2) which is a real number; however, the second equation y=%28sqrt%28-2%29%29%5E2 does not produce a real number. So the two are not equal when x=-2. They are not equal when x%3C0.


If we said that x%3E=0, then x=%28sqrt%28x%29%29%5E2 would be true.