Consider the following statements:Statement 1: The function f : R → R such that f(x) = x3 for all x ∈ R is one-oneStatement 2: f(a) = f(b) ⇒ a = b for all a, b ∈ R if the function f is one-one.Which one of the following is correct in respect of the above statements?

Question

TuteeHUB · Accepted Answer

Both the statements are true and Statement 2 is not the correct explanation of Statement 1.

TuteeHUB · Answer

Both the statements are true and Statement 2 is the correct explanation of Statement 1.

TuteeHUB · Answer

Statement 1 is true but Statement 2 is false.

TuteeHUB · Answer

Statement 1 is false but Statement 2 is true

Consider the following statements:Statement 1: The function f : R → R such that f(x) = x3 for all x ∈ R is one-oneStatement 2: f(a) = f(b) ⇒ a = b for all a, b ∈ R if the function f is one-one.Which one of the following is correct in respect of the above statements?

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