Question 1117791: Hi there, how would you find the range of y=absx/x ?
How do you find it without graphing it? ie. in an exam situation where you don't have much time
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39799)   (Show Source):
Answer by ikleyn(53763)  (Show Source):
You can put this solution on YOUR website! .
Concretely for f(x) =  , this function takes only TWO values:
if x > 0, then |x| = x, and therefore f(x) =  = 1.
if x = 0, then the function f(x) is NOT DEFINED.
if x < 0, then |x| = -x, hence f(x) =  = -1.
So, the range of this function is the set of the two values {-1,1}, while its domain is the set of all real numbers except of {0}.
To be successful at the exam, you need
1) to know the basics well, and
2) to have some experience in solving typical problems.
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