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Question 893780: Use a graphing utility to graph the function and estimate its domain and range. Then find the domain and range algebraically. (Enter your answers using interval notation.)
f(x) = − 1/3|x − 4|
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Not sure if you mean,
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We'll do it both ways.
First,
Absolute value function always returns a positive value so f(x) will always be negative. It equals zero at 
So the domain is all values of x, ( , ).
The range is all values less than or equal to zero, (, ].
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Next,
Again, values will be negative but in this case the values approach zero but never equal zero.
Domain is all points except since division by zero is undefined.
So the domain is (, )U(,).
The range is all values less than zero, (,).
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