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Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

# What is the domain of the function ?

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• 1 month ago

• 2 months ago

While what @Bone Alone gave you (0 <= x < infinity) is correct in terms of square roots and any other even numbered roots regarding the domain of x, here's the problem -- the function is y = CUBE ROOT of x.

The cube root changes everything regarding the domain and so would any other odd numbered root of x.  Can the function be negative if x is negative? YES.  Case in point: the cube root of -27 is -3 because (-3)^3 = -27.

The answer is #1 -- the domain is all real numbers x (-infinity < x < infinity).

• 2 months ago

Domain is the x axis. What values of x can you use that would make the function true.

There’s one rule that we all know when it comes to square roots. You cannot have a negative square root hence why it’s called imaginary.

So x can’t be less than 0, but it can be 0. There’s your answer.