Define f : Z×Z → Z by f ( a , b ) = a b . Determine whether f is one-to-one.

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 3, Problem 1RE

Define $f : Z×Z → Z$ by $f ( a , b ) = a b$ . Determine whether f is one-to-one.

Expert Solution & Answer

To determine

Whether f is one-to-one or not.

Answer to Problem 1RE

Solution: f is not one-to-one.

Explanation of Solution

Given Information:

Define $f:Z×Z→Z$ by $f(a,b)=ab$

Explanation:

For one-one

$(a,b)=(c,d)$ if $f(a,b)=f(c,d)$ .

As,

$f(a,b)=f(c,d)ab=cd$

But a and b are not always equal to c and d to satisfy the above condition.

For example:

$f(2,2)=4=f(3,1)(2,2)≠(3,1)$

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Starting with the finished version of Example 6.2, attached, change the decision criterion to "maximize expected utility," using an exponential utility function with risk tolerance $5,000,000. Display certainty equivalents on the tree. a. Keep doubling the risk tolerance until the company's best strategy is the same as with the EMV criterion—continue with development and then market if successful. The risk tolerance must reach $ 160,000,000 before the risk averse company acts the same as the EMV-maximizing company. b. With a risk tolerance of $320,000,000, the company views the optimal strategy as equivalent to receiving a sure $____________ , even though the EMV from the original strategy (with no risk tolerance) is $ 59,200.

Complete solutions need handwriting. For all only sure experts solve it correct complete solutions

The graph below shows the U.S. federal expenses for 2012. A) estimate the fraction of the total expenses that were spent on Medicare. Write your answer as the closest fraction whose denominator is 100. B) estimate the fraction of the total expenses that were spent on Medicare and Medicaid. Write your answer as the closest fraction, whose denominator is 100.

Answer 2

Textbook Question

Chapter 3, Problem 1RE

Define $f : Z×Z → Z$ by $f ( a , b ) = a b$ . Determine whether f is one-to-one.

Expert Solution & Answer

To determine

Whether f is one-to-one or not.

Answer to Problem 1RE

Solution: f is not one-to-one.

Explanation of Solution

Given Information:

Define $f:Z×Z→Z$ by $f(a,b)=ab$

Explanation:

For one-one

$(a,b)=(c,d)$ if $f(a,b)=f(c,d)$ .

As,

$f(a,b)=f(c,d)ab=cd$

But a and b are not always equal to c and d to satisfy the above condition.

For example:

$f(2,2)=4=f(3,1)(2,2)≠(3,1)$

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 3, Problem 1RE

Define $f : Z×Z → Z$ by $f ( a , b ) = a b$ . Determine whether f is one-to-one.

Expert Solution & Answer

To determine

Whether f is one-to-one or not.

Answer to Problem 1RE

Solution: f is not one-to-one.

Explanation of Solution

Given Information:

Define $f:Z×Z→Z$ by $f(a,b)=ab$

Explanation:

For one-one

$(a,b)=(c,d)$ if $f(a,b)=f(c,d)$ .

As,

$f(a,b)=f(c,d)ab=cd$

But a and b are not always equal to c and d to satisfy the above condition.

For example:

$f(2,2)=4=f(3,1)(2,2)≠(3,1)$

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 3, Problem 1RE

Define $f : Z×Z → Z$ by $f ( a , b ) = a b$ . Determine whether f is one-to-one.

Expert Solution & Answer

To determine

Whether f is one-to-one or not.

Answer to Problem 1RE

Solution: f is not one-to-one.

Explanation of Solution

Given Information:

Define $f:Z×Z→Z$ by $f(a,b)=ab$

Explanation:

For one-one

$(a,b)=(c,d)$ if $f(a,b)=f(c,d)$ .

As,

$f(a,b)=f(c,d)ab=cd$

But a and b are not always equal to c and d to satisfy the above condition.

For example:

$f(2,2)=4=f(3,1)(2,2)≠(3,1)$

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Whether f is one-to-one or not.

Answer to Problem 1RE

Solution: f is not one-to-one.

Explanation of Solution

Given Information:

Define $f:Z×Z→Z$ by $f(a,b)=ab$

Explanation:

For one-one

$(a,b)=(c,d)$ if $f(a,b)=f(c,d)$ .

As,

$f(a,b)=f(c,d)ab=cd$

But a and b are not always equal to c and d to satisfy the above condition.

For example:

$f(2,2)=4=f(3,1)(2,2)≠(3,1)$

Answer 8

Expert Solution & Answer

To determine

Whether f is one-to-one or not.

Answer to Problem 1RE

Solution: f is not one-to-one.

Explanation of Solution

Given Information:

Define $f:Z×Z→Z$ by $f(a,b)=ab$

Explanation:

For one-one

$(a,b)=(c,d)$ if $f(a,b)=f(c,d)$ .

As,

$f(a,b)=f(c,d)ab=cd$

But a and b are not always equal to c and d to satisfy the above condition.

For example:

$f(2,2)=4=f(3,1)(2,2)≠(3,1)$

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Whether f is one-to-one or not.

Answer 12

Answer to Problem 1RE

Solution: f is not one-to-one.

Answer 13

Explanation of Solution

Given Information:

Define $f:Z×Z→Z$ by $f(a,b)=ab$

Explanation:

For one-one

$(a,b)=(c,d)$ if $f(a,b)=f(c,d)$ .

As,

$f(a,b)=f(c,d)ab=cd$

But a and b are not always equal to c and d to satisfy the above condition.

For example:

$f(2,2)=4=f(3,1)(2,2)≠(3,1)$

Answer 14

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

Define f : Z×Z → Z by f ( a , b ) = a b . Determine whether f is one-to-one.

Videos

Answer to Problem 1RE

Explanation of Solution

Want to see more full solutions like this?

Chapter 3 Solutions

Additional Math Textbook Solutions