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

Which statement is true about the function f(x) =√-x-example-1
User Omikad
by
5.6k points

2 Answers

5 votes

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.

User Wiram Rathod
by
5.5k points
7 votes

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]


User PositiveGuy
by
5.9k points