The reason why the given function f = { ( a , a ) , ( b , β ) , ( c , γ ) , ( d , α ) } is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

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Answer 1

Question

Chapter 3.1, Problem 25E

a)

To determine

The reason why the given function f={(a,a),(b,β),(c,γ),(d,α)} is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

b)

To determine

The reason why the given function f:R→R defined by f(x)=−4x2+12x−9 is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

c)

To determine

The reason why the given function f:R→R defined by f(x)=sinx is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

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Answer 2

Question

Chapter 3.1, Problem 25E

a)

To determine

The reason why the given function f={(a,a),(b,β),(c,γ),(d,α)} is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

b)

To determine

The reason why the given function f:R→R defined by f(x)=−4x2+12x−9 is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

c)

To determine

The reason why the given function f:R→R defined by f(x)=sinx is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

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See solution

Answer 3

Question

Chapter 3.1, Problem 25E

a)

To determine

The reason why the given function f={(a,a),(b,β),(c,γ),(d,α)} is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

b)

To determine

The reason why the given function f:R→R defined by f(x)=−4x2+12x−9 is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

c)

To determine

The reason why the given function f:R→R defined by f(x)=sinx is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

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Answer 4

Question

Chapter 3.1, Problem 25E

a)

To determine

The reason why the given function f={(a,a),(b,β),(c,γ),(d,α)} is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

b)

To determine

The reason why the given function f:R→R defined by f(x)=−4x2+12x−9 is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

c)

To determine

The reason why the given function f:R→R defined by f(x)=sinx is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

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Answer 5

Chapter 3.1, Problem 25E

a)

To determine

The reason why the given function f={(a,a),(b,β),(c,γ),(d,α)} is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

b)

To determine

The reason why the given function f:R→R defined by f(x)=−4x2+12x−9 is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

c)

To determine

The reason why the given function f:R→R defined by f(x)=sinx is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

Answer 6

Chapter 3.1, Problem 25E

a)

To determine

The reason why the given function f={(a,a),(b,β),(c,γ),(d,α)} is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

Answer 7

Chapter 3.1, Problem 25E

a)

To determine

The reason why the given function f={(a,a),(b,β),(c,γ),(d,α)} is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

Answer 8

b)

To determine

The reason why the given function f:R→R defined by f(x)=−4x2+12x−9 is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

Answer 9

b)

To determine

The reason why the given function f:R→R defined by f(x)=−4x2+12x−9 is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

Answer 10

c)

To determine

The reason why the given function f:R→R defined by f(x)=sinx is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

Answer 11

c)

To determine

The reason why the given function f:R→R defined by f(x)=sinx is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 3.1 - True/False Questions A function from a set A to a...Ch. 3.1 - Prob. 2TFQ Ch. 3.1 - Prob. 3TFQ Ch. 3.1 - Prob. 4TFQ Ch. 3.1 - Prob. 5TFQ Ch. 3.1 - True/False Questions Define f:ZZ by f(x)=x+2. Then...Ch. 3.1 - Prob. 7TFQ Ch. 3.1 - Prob. 8TFQ Ch. 3.1 - Prob. 9TFQ Ch. 3.1 - Prob. 10TFQ

The reason why the given function f = { ( a , a ) , ( b , β ) , ( c , γ ) , ( d , α ) } is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

Solution Summary: The author explains that the function f:Ato B is not one-to-one or injective if different elements of A have different images.

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The reason why the given function f={(a,a),(b,β),(c,γ),(d,α)} is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

The reason why the given function f:R→R defined by f(x)=−4x2+12x−9 is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

The reason why the given function f:R→R defined by f(x)=sinx is not one-to-one. Then restrict the domain of the function to as large a set as possible so as to make a one-to-one function.

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