Question

Identify the domain and range and sketch the graph of the function
y=-sqrt-x

Answer 1

\[y=\sqrt{-x}\]

Answer 2

\[y=-\sqrt{-x}\]

Answer 3

you can't take the square root of a negative number , solve \[-x\geq 0\] in one step to get the domain

Answer 4

same domainfor \(y=-\sqrt{-x}\)makes no difference

Answer 5

as for the range, the square root is greater than or equal to zero, so minus the square root will be less than or equal to zero

Answer 6

Ok so the domian would be (-infinity, infinity)?

Answer 7

HI!!

Answer 8

and no

Answer 9

do you know how to solve \[-x\geq 0\] for \(x\)?

Answer 10

No

Answer 11

if not, that is fine, i will show you

Answer 12

Ok thanks

Answer 13

ok change the sign, and flip the inequality

Answer 14

Ok

Answer 15

the math teachers call it "multiply by \(-1\)" or sommat, but you just make it positive and change greater than or equal to to less that or equal to

Answer 16

what @misty1212 said

Answer 17

don't you divide by -1 and flip the sign?

Answer 18

lol multiply by -1, divide by -1, potato potahto

Answer 19

ok so would the domain be -1?

Answer 20

ooooh kay lets go slow

Answer 21

the domain is an interval right? not a number

Answer 22

Yes

Answer 23

the question is, what interval is it
now we know that you cannot take the square root of a negative number, so the input has to be positive right?

Answer 24

the input in this case is \(-x\)
in english we would say that \(-x\) must be greater than or equal to zero
in math write
\[-x\geq 0\]

Answer 25

to solve that for \(x\) change the sign so that it is \(x\) instead of \(-x\) and change the inequality as well

Answer 26

i.e \[-x\geq 0\iff x\leq 0\] and that is your domain

Answer 27

if you want to write it as an interval that works too, call it
\[\huge (-\infty, 0]\]

Answer 28

Ok so what would the range be?

Answer 29

ok again we go slow
the range is all possible outputs
the square root is always greater than or equal to zero
you have a minus sign in front, so that means the range will be all numbers less than or equal to zero

Answer 30

Ok so how would I graph it?

Answer 31

if you want to write it as an interval, write it the same as the domain
in this case they are the same

Answer 32

how to you graph \(y=-\sqrt{-x}\)?

Answer 33

is that the question?

Answer 34

Well I have to sketch the graph of the function

Answer 35

do you know what \(y=\sqrt{x}\) looks like?

Answer 36

No

Answer 37

hmm then you can't really do it
maybe look it up

Answer 38

ok

Answer 39

http://www.wolframalpha.com/input/?i=plot+y%3D%E2%88%92%E2%88%9A-x%3F

Answer 40

ok be very careful here

Answer 41

wolfram has given you too much information

Answer 42

where it says "complex valued plot" change it to "real valued plot"

Answer 43

Oh ok thanks

Answer 44

you should see something like that