Consider the following statements : Statement 1: The function f R R such that f ( x )= x ^3 for all x R is one-one. Statement 2: f(a) f(b) for all a, b R if the function f is one-one. Which one of the following is correct in respect of the

Question

Consider the following statements : Statement 1: The function f R R such that f ( x )= x ^3 for all x R is one-one. Statement 2: f(a) f(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?

Quantrex Academy · Accepted Answer

Correct answer: A. Both the statements are true and Statement 2 is the correct explanation of Statement 1.

aligned & f ( x )= x ^3 & f ( x ₁ )= x ₁^3 & f ( x ₂ )= x ₂^3 & if x ₁= x ₂ & then f ( x ₁ )= f ( x ₂ ) aligned So it is one-one function Hence option (1) is correct.

Consider the following statements : Statement 1: The function f R R such that f ( x )= x ^3 for all x R is one-one. Statement 2: f(a) f(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?

Options

Correct answer

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