SOLUTION: what is the domain of the following function f(x) = sqrt(((x^3)/3) - x) a)(−infinite, -sqrt3]and[0, infinite) b)[−sqrt3, 0]and[sqrt3, infinite) c)[−

Question 901641: what is the domain of the following function
f(x) = sqrt(((x^3)/3) - x)
a)(−infinite, -sqrt3]and[0, infinite)
b)[−sqrt3, 0]and[sqrt3, infinite)
c)[−sqrt3, sqrt3]
d)(−infinite, −sqrt3]and[sqrt3, infinite)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The argument of the square root must be non-negative:

Critical points:

and

So from the graph, it looks like, the regions where the function is non-negative are,
(,)U(,)

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SOLUTION: what is the domain of the following function f(x) = sqrt(((x^3)/3) - x) a)(&#8722;infinite, -sqrt3]and[0, infinite) b)[&#8722;sqrt3, 0]and[sqrt3, infinite) c)[&#8722;

SOLUTION: what is the domain of the following function f(x) = sqrt(((x^3)/3) - x) a)(−infinite, -sqrt3]and[0, infinite) b)[−sqrt3, 0]and[sqrt3, infinite) c)[−