Assam ASSEB Higher Secondary Mathematics Practice Questions - Assam Board ASSEB Class 11-12 Higher Secondary Mathematics Exam

Let f: R -> R be defined by f(x) = x^2. Why is f NOT an injective (one-one) function?

Because f(x) >= 0 for all x Because f(1) = f(-1) = 1 while 1 != -1 Because f is continuous everywhere Because the domain is the set of real numbers

Correct Answer:

Because f(1) = f(-1) = 1 while 1 != -1

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