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Mathematics 13 Online
OpenStudy (anonymous):

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

OpenStudy (asnaseer):

firstly, do you understand what |x| means?

OpenStudy (anonymous):

What does it mean?

OpenStudy (asnaseer):

|x| means the "absolute value" of x. you might find this site useful in helping you understand this concept first: http://www.mathsisfun.com/numbers/absolute-value.html

OpenStudy (anonymous):

I know what it means now. Would it be all real numbers

OpenStudy (asnaseer):

so what would |-3| equal?

OpenStudy (anonymous):

3

OpenStudy (asnaseer):

correct. so now can you see what the range of y=-|x| would be?

OpenStudy (asnaseer):

I'm asking you for the choices - I'm asking you what you think is the answer.

OpenStudy (asnaseer):

what range of values would |x| cover?

OpenStudy (anonymous):

Negatives and positives

OpenStudy (asnaseer):

how could it cover negatives? are you sure that you have really understood what |x| means. I would advise you to first study that link I gave you to make sure you fully understand what it means.

OpenStudy (agent47):

So first of all: absolute value means, whatever you plug in comes out to be positive. Well |0| is 0. So now if you have x, and you get a positive number when you put any x into an absolute value, then a negative times that positive number would give you a negative. So your range would be zero and all negatives

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