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Let A = [–1, 1]. discuss whether the following functions defined on A are one-one, onto or bijective: k(x) = x2

Let A = [–1, 1].  
 discuss whether the following functions defined on A are one-one, onto or bijective: 
  k(x) = x2

Grade:12

1 Answers

Anand Kumar Pandey
askIITians Faculty 5818 Points
5 months ago
Dear Student

k (x) = x^2
Let k (x1) = k (x2)
x1^2= x2^2
x1= ± x2
Therefore, k (x) is not one-one.

Thanks

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