Suppose f : A → B is a function, X ⊂ A and Y ⊂ B. What does it mean to say: (a) z is in the range of f? (b) The function f is one-to-one? (c) The function f is onto? (d) That z ∈ f^(−1)(Y )? (e) That z ∈ f(X)?
Suppose f : A → B is a function, X ⊂ A and Y ⊂ B. What does it mean to say: (a) z is in the range of f? (b) The function f is one-to-one? (c) The function f is onto? (d) That z ∈ f^(−1)(Y )? (e) That z ∈ f(X)?
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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Question
Suppose f : A → B is a function, X ⊂ A and Y ⊂ B. What does it mean to say:
(a) z is in the range of f?
(b) The function f is one-to-one?
(c) The function f is onto?
(d) That z ∈ f^(−1)(Y )?
(e) That z ∈ f(X)?
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