4 True or False. Explain briefly (you can use diagram to show, or one or two short sentences). (a) For a function f: X Y, where both domain X and codomain Y are finite sets, if f is an one-to-one function, then X|< Y . For a function f: X- Y, where both domain X and codomain Y are finite sets, if f is an surjective function function, then |X| |Y.

Q: 3. Create/Draw one (1) example for each of the following types of function: a. Surjection function…

A: We solve this by using definition of the following

Q: B. Let ? represent an unknown input or output. Which of the following tables MIGHT BE ABLE TO be…

A: A relation will be a function if every element of independent set ( Set of x ) have unique…

Q: True or false: There is no one-to-one function from a set with 100 elements to a set with 90…

A: Statement is true see the argument on step 2

Q: Examine each of the following relations given below and state in eachcase, giving reasons whether it…

A: (i) R = {(2,1),(3,1), (4,2)} For one value of x, we got one value of y So it is a function.…

Q: Let A ={1,2,3,4}, B = {1,5,9,11,15,16} and f = {(1,5), (2,9), (3,1), (4,5), (2,11)}Are the following…

A:

Q: Which of the following relations represent functions? W 11 11 11 -11 7. 7 11 11 11 11 XN XX

A: We are given the following relations.

Q: 3. What is the difference between a function and a relation? 4. If f is a total function, is the…

A: As you are posted multiple questions. According to bartleby guidelines we do only first question and…

Q: Draw a graph of function a ド」 f(x) ニ 2, メ= -X +1, ×7 |

A: See attached file for a step by step explanation.

Q: Every function is a relation of its domain and codomain. O True. O False.

A: A relation defined between two sets X and Y contains ordered pair a,b such that  a∈X ,  b∈Y. It…

Q: Exercise 4. Let p: R→ R be a polynomial function, that is, assume that p is given by an expression…

A: A surjective function, also known as an onto function, is a type of function between two sets that…

Q: Give one example of a relation which is a function and one example of relation which is not…

A: example of a relation  which  is a functionConsider a set A and BA={1,2,3,4,5} and…

Q: The piecewise function f is defined below. 2x +1 if x 8 a. f(4) = 9 Preview b. f(10) = 11 Preview…

A:

Q: Calculus for Engineers 1. Given the relation: {(1,2), (2,4), (-2,0), (1,3)} Is this a valid…

A: We have given a relation  {1,2,2,4,-2,0,1,3} A relation is a function if relates each element in its…

Q: The following relation is a function. {(2, 3), (1, 1), (-2, 1), (3, 2)} True O False

A: A relation is a function if each element in the domain maps to exactly one element in the range. In…

Q: H3. Show that the convolution of class functions is a class function.

A: We have to show that,  The convolution of class functions is a class functions. Therefore,  by the…

Q: Write a function notation in five different ways satisfying the following conditions. 1. A function…

A:

Q: Exercise 3. Is there a number that is exactly one less than its fifth power?

A: To determine if there is a number "x" that is exactly one less than its fifth power, we can approach…

Q: Which of the following relation is a one-to-one function? Write your answers on the space provided..…

A: