SOLUTION: the domain of the function sqrt of x(x-2)= must be written in interval notation

Question 557319: the domain of the function sqrt of x(x-2)=
must be written in interval notation
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the domain of the function sqrt of x(x-2)=
must be written in interval notation
----
y = sqrt(x(x-2))
-----
The radicand cannot be negative:
Solve x(x-2) >= 0
------
Solve the equality:
x = 0 or x = 2
-----
Solve the inequality:
Draw a number line.
Plot x = 0 and x = 2 on the line
------
Test a value in each of the intervals to find the solution set
for x(x-2) > 0
Test x = -10 to get: -*- > 0 ; true, so solutions in (-oo,0)
Test x = 1 to get: +*- > 0 ; false
Test x = 10 to get: +*+ > 0 ; true, so solutions in (2,+oo)
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Domain: (-oo,0) U (2, +oo)
---------------------------------
Cheers,
Stan H.
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