Question

Can you check my answer for me? Also, show me how to graph this function. The function is below.

Answer 1

The function is
Y=x√-4
. I got the domain to be
(−∞,0]
and the range to be
[0,∞)
. Is this correct?

Answer 2

anybody know what the domain and range of this is?

Answer 3

Wow - no answers yet huh?
Well it seems to me the function will always equal 2 times the square root of minus 4.
And that is 2 * 2i (i being the square root of minus 1)

Answer 4

The function is actually \[Y=\sqrt[4]{-x}\] sorry.

Answer 5

Thank you wolf for helping! :)

Answer 6

Okay the fourth root of a negative number huh?
Have to look that up.

Answer 7

thanks!

Answer 8

Wow - I did a lot of searching for fourth roots of negative numbers. I'm going to do some more searching.

Answer 9

THANKS SO MUCH. well I think x must be negative because then the negative under the radical will cancel the negative out and you would be left with a positive number in the radical right?

Answer 10

I think the answer is a lot more complicated than that. Here's a link (which probably won't help you that much) http://www.qfak.com/education_reference/science_mathematics/?id=1323918#.UhP_MZK1GSo
Taking the fourth root of a negative number requires using DeMoivre's Theorem.
Just as an example the FOUR 4th roots of -16 are:
x1= 2i sqrt i
x2= -2i sqrt i
x3= 2sqrt i
x4= -2sqrt i

As you can see, this is more complex than you think. (By the way I copied those answers from that link).

Answer 11

As I said I copied those answers. (I do not know how to find all four fourth roots of a negative number).

Answer 12

THANKS FOR HELPING