Question

which statement is true about the function f(x) =√-x

Answer 1

The answer is choice A.

It's what is in the square root that will dictate what the domain is.

Choice A has the same radicand as the given function.

Answer 2

Answer:

Correct choice is A

Step-by-step explanation:

Consider parent function $y=\sqrt{x}.$ The domain of this function is $x\in [0,\infty)$ and the range of this function is $y\in [0,\infty).$

Thus, the function $f(x)=\sqrt{-x}$ has the domain $x\in (-\infty,0]$ and the range $y\in [0,\infty).$

State the domain and the range of all given functions:

A. The domain: $x\in (-\infty,0]$

B. The range: $y\in (-\infty,0]$

C. The domain: $x\in [0,\infty)$

D. The range:  $y\in (-\infty,0]$