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Question
Draw the graph of the following function:
f(x) = `|x|/x`
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Solution
If f: R → R is defined by
f(x) = `{(|x|/x if x ≠ 0),(0 if x = 0):}`
= `{(x/x if x > 0),((- x)/x if x < 0):}`
= `{(1 if x > 0),(- 1 if x < 0):}`
The domain of the function is R and the range is {-1, 0, 1}.
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