Answered: Let f : R → R be defined by f(x) = x^2.…

Let f : R → R be defined by f(x) = x^2. Is f one-to-one? Explain your answer. Is f onto? Explain your answer. Let f : X → Y be a function and let A,B ⊆ X. Prove that f(A∪B) =f(A)∪f(B).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 64E

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Question

Let f : R → R be defined by f(x) = x^2. Is f one-to-one? Explain your answer. Is f onto? Explain your answer. Let f : X → Y be a function and let A,B ⊆ X. Prove that f(A∪B) =f(A)∪f(B).

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