1.

Let A = {x ∈R : x ≠ 0, -4 ≤ x ≤ 4} and f : A → R be defined by f(x) = |x|/x for x ∈ A. Then A isA. {1, -1} B. {x : 0 ≤ x ≤ 4} C. {1} D. {x : -4 ≤ x ≤ 0}

Answer»

Option : (A)

Given,

f(x) = |x|/x 

When -4≤x<0,

f(x) = \(-\frac{x}{x}\)

= -1 

When 0<x≤4,

f(x) = \(\frac{x}{x}\)

= 1 

R(f) = {-1, 1}



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