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

Question

asked Jan 16, 2019 109k views

2 Answers

Wiram Rathod · Answer 1 · 2019-01-17T05:53:30+0000

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.

PositiveGuy · Answer 2 · 2019-01-23T20:42:52+0000

Answer:

Correct choice is A

Explanation:

Consider parent function
y=√(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)=√(-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:
$y\in (-\infty,0]$