Question

In: Math

1. "Give an example of a function that is defined on the set of integers that...

1. "Give an example of a function that is defined on the set of integers that is not a one-to-one function."
Keep in mind that the above domain must be the set of integers. Identify what your codomain is, too.

2. "Give an example of a function that is defined on the set of rational numbers that is not an onto function."
The above domain must be the set of rational numbers. Identify what your codomain is, too. This is especially important when explaining why a function is not onto.

3. "Give an example of a function defined on the real numbers that is a one-to-one correspondence."
The above domain must be the set of real numbers. Identify what your codomain is, too.

Solutions

Expert Solution

if you have any doubt please comment/please like


Related Solutions

Set T of integers is recursively defined as follows: 1. 1 is in set T 2....
Set T of integers is recursively defined as follows: 1. 1 is in set T 2. If x is in set T, then x + 2 and 2 ∙ x are both in T. Which of these integers are in set T? 0 7 11 13 19 24 please explain why if possible, thank you!
Prove that the function defined to be 1 on the Cantor set and 0 on the...
Prove that the function defined to be 1 on the Cantor set and 0 on the complement of the Cantor set is discontinuous at each point of the Cantor set and continuous at every point of the complement of the Cantor set.
In Java, a set of integers is given. write a function to find 2 integers in...
In Java, a set of integers is given. write a function to find 2 integers in this set that sums upto a target value. i.e [1,5,2,0,11,3] target = 7 result [5,2] i.e [1,5,4,0,14,-7] target = 9 result [5,4] NOTE: THE SAME INTEGER CANNOT BE USED TWICE !!!
Consider the integers from 1 to 10. Give the set of pairs (a, b) that corresponds...
Consider the integers from 1 to 10. Give the set of pairs (a, b) that corresponds to relation a ≡ b mod 1.
The subset-sum problem is defined as follows. Given a set of n positive integers, S =...
The subset-sum problem is defined as follows. Given a set of n positive integers, S = {a1, a2, a3, ..., an} and positive integer W, is there a subset of S whose elements sum to W? Design a dynamic program to solve the problem. (Hint: uses a 2-dimensional Boolean array X, with n rows and W+1 columns, i.e., X[i, j] = 1,1 <= i <= n, 0 <= j <= W, if and only if there is a subset of...
Explain the difference between a set that is well defined and one that is not. Give...
Explain the difference between a set that is well defined and one that is not. Give an example of a well-defined set. Name and describe your well-defined set using roster form and set-builder notation. Give an example of at least 1 subset. NO HANDWRITING PLEASE.
For the following Ackerman function defined for non-negative integers, write a Java program that: Contains a...
For the following Ackerman function defined for non-negative integers, write a Java program that: Contains a method called computeAckermann that takes two integer values as parameters and calculates and returns the value of the Ackerman function. The method should be defined inside a class named Ackermann. Test the implementation of Ackerman in (a) by calling it from main function and printing the returned value. The main function should be defined in a separate class named AckermannDemo.
A _______________ is defined as the set of local variables in a function that are kept alive after the function has returned.
Fill in the blanks in each of the following.A _______________ is defined as the set of local variables in a function that are kept alive after the function has returned.All JavaScript objects inherit the properties and functions (or also called methods) from their _______________ that is created using an object constructor function.The _______________ operator removes a given property from an object. (Note that the operator is a keyword, not a symbol.)A ____________________ is a web app that interacts with the...
Suppose that two integers from the set of 8 integers {1, 2, … , 8} are...
Suppose that two integers from the set of 8 integers {1, 2, … , 8} are choosen at random. Find the probability that 5 and 8 are picked. Both numbers match. Sum of the two numbers picked is less than 4. [3+3+4 marks] Suppose that you pick a bit string from the set of all bit strings of length ten. Find the probability that: The bit string has the sum of its digits equal to seven. The bit string has...
Give an example of integers a, b, m such that a 2 ≡ b 2 (mod...
Give an example of integers a, b, m such that a 2 ≡ b 2 (mod m), but a 6≡ b (mod m)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT