Question

What is the range of f(x) = square root of -x ?

x≥ 0
y ≥ 0
y ≤ 0
all real numbers

Answer 1

when you take the square root of a number, what numbers can result?

Answer 2

all real numbers?

Answer 3

-x = -1x
what is the square root of -1?

Answer 4

1

Answer 5

could it be a

Answer 6

You can only result in a positive number if you take a sqrt, ignoring imaginary numbers.

The transformation f(x) -> f(-x) is just a 180 degree swivel of f(x) about the y-axis:


So the range is unchanged from that of y = sqrt(x)