Question

What is the range of the function `f(x)=(|x|)/(x), xne0`?
A. Set of all real numbers
B. Set of all integers
C. {-1, 1}
D. {-1, 0, 1}

Answer 1

Correct Answer - C
As we know
`|x|={{:(x,if,xgt0),(-x,if,xlt0):}`
`thereforef(x)=(|x|)/(x)={{:((x)/(x),if,xgt0),((-x)/(x),if,xlt0):}`
`={{:(1,if,xgt0),(-1,if,xlt0):}`
Hence, Range = (-1,1).