Which statement is true about the function f (x) = StartRoot negative x EndRoot?

The domain of the function is all negative real numbers.

The range of the function is all positive real numbers.

The domain and range of the function have opposite signs

The domain and range of the function are the same

Because x is negative the domain of the function is all negative real numbers.

Set the radical greater than or equal to 0:

-x > = 0

Turn x positive by multiplying both sides by - 1. When you multiply an inequality by - 1 you need to reverse the inequality sign:

X < = 0

Domain is all real numbers below 0 so all negative real numbers.

Because x is negative the domain of the function is all negative real numbers.

Set the radical greater than or equal to 0:

-x > = 0

Turn x positive by multiplying both sides by - 1. When you multiply an inequality by - 1 you need to reverse the inequality sign:

X < = 0

Domain is all real numbers below 0 so all negative real numbers.