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Which statement is true of the function f(x) = Negative RootIndex 3 StartRoot x EndRoot? Select three options.

The function is always increasing.
The function has a domain of all real numbers.
The function has a range of {y|–Infinity < y < Infinity}.
The function is a reflection of y = .
The function passes through the point (3, –27).

Respuesta :

facundo3141592

the correct options are:

  • The function has a domain of all real numbers.
  • The function has a range of {y|–Infinity < y < Infinity} (this is the same as saying that the range is the set of all real numbers.

Which statements are true about the function?

Here we have the function:

[tex]F(x) = -\sqrt[3]{x}[/tex]

First, this is a cubic root, so its domain is the set of all real numbers (same for the range). And we know that the cubic root is an increasing function, so if we put a negative sign before it, we will have a decreasing function.

Then the correct options are:

  • The function has a domain of all real numbers.
  • The function has a range of {y|–Infinity < y < Infinity} (this is the same as saying that the range is the set of all real numbers.

The fourth option is incomplete, so we can't conclude if it is true or not, it would be true if it said:

"The function is a reflection over the x-axis of y = ∛x"

If you want to learn more about cubic roots:

https://brainly.com/question/20896994

#SPJ1

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