Functions: find domain, range of f(x) = |x| (absolute value)

ezwind72

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Oct 29, 2008
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Consider the function ABS(x)=/x/, the absolute value of x.

a. What are the domain & range of ABS(x)?
b. Find ABS(-6)

I am not looking for the solution to this but rather what "/x/, the absolute value of x" means. I would like to try and solve it on my own and then have someone check my answer if possible. Thanks!
 
Re: Functions Question

The absolute value of a real number is the “distance” (number of units) that the number is from zero. So |0|=0 because zero is 0 units from zero while |2|=2 because 2 is two units from zero. What is |-6|, remember that distance is never negative.
 
Re: Functions Question

So |-6| =6? And the domain would be {x: x is a real number} and the range would {x: x is a real number, x?0}?
 
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