What is the range of the function y = -| x |?

Question

anonymous · Answer

answers: 
186
199
195

tkhunny · Answer

Those are not answers.

Just walk through it carefully.

x is All Real Numbers
|x| is all NonNegative Real Numbers, or $[0,\infty)$
-|x| is all NonPositive Real Numbers, or $(-\infty,0]$

anonymous · Answer

(−∞,0]

anonymous · Answer

whoops

anonymous · Answer

x ≤ 0
y ≤ 0
all real numbers

anonymous · Answer

those are the answers

tkhunny · Answer

@aviz  Never do that.  Right or Wrong, it is contrary to the Code of Conduct.  Please read this important document and heed its wisdom.

@spasekat Okay, so which will you select?

anonymous · Answer

i would imagine it is x ≤ 0

anonymous · Answer

@tkhunny sorry, keep that in mind

tkhunny · Answer

You need the Range, not the Domain.  You should be talking about "y".

anonymous · Answer

oh ok

anonymous · Answer

im acutally doing terrible with my homework. umm. that would be awesome if someone could message me on skype and help me with algebra a bit if you have time?

anonymous · Answer

i need help understanding it more

mathmale · Answer

Think of the "range" as the set of values which the dependent variable, y, may take on.

Which values may z = |x| assume?

Which values may y = - |x| assume?

mathmale · Answer

I'd strongly suggest that you graph the function z = |x|.  Look up "absolute value function" if you're not sure what this graph looks like.

Can you determine the range of z = |x| from the graph of this function?

anonymous · Answer

k but im having serious trouble grasping an understanding of all this.