# math

Can someone explain this to me.

Determine if the given rule is a function, and if not, explain why.
a. People assigned to their fathers

b. Numbers assigned to the sums fo their digits.

c. Mothers assigned to their children.

a) Here the rule defines a function from the set of all people to itself. The function takes an element of the set (i.e. a person) and maps that person to the person's father (which is, of course, another person and thus also a member of the set).

b) Here the function maps numbers to numbers by taking the sum of the digits.

c) Because a mother can have more than one child you cannot define a function like we did above. It is still possible to define a function by considering mothers with a fixed number, N, of children. The function then maps from the set of all mothers with N children to the N dimensional vector space over the set of all people. The function takes a mother and outputs the N dimensional vector:

[child nr1, child nr. 2,..., child nr. N]

Note that for vectors the ordering of the components matters. This can e.g. be chosen to correspond to the age of the children.

1. 👍 0
2. 👎 0
3. 👁 118

## Similar Questions

1. ### Math (Calculus)

Hello, Could somebody please help me with the following question? It asks to differentiate the function below according to derivate rules of calculus such as the power rule (if f(x)=x^n, then f'(x)=nx^n-1), the product rule (if

asked by Constantine on August 12, 2015
2. ### MATH

The formula for the area of a circle and the volume of a sphere an be though of as functions of the radii of the shapes. (Anything you could answer would be so helpful) Thank you!! a) Write a rule expressing the area of a circle

asked by Julie on February 10, 2013

The formula for the area of a circle and the volume of a sphere an be though of as functions of the radii of the shapes. (Anything you could answer would be so helpful) Thank you!! a) Write a rule expressing the area of a circle

asked by Julie on February 10, 2013

I am looking at this question and I'm completely spacing how to do it I am looking in my book and I still have no idea how I do it. Explain how to write a function rule from the table below. Then write a function rule. |X|2|4| 6|

asked by BunnySayRawr on June 1, 2016
5. ### MATH 1 QUESTION VERY HARD PLS HELP ASAP!!!!!

PLEASE HELP ASAP!!!!! i don't know! Explain how to write a function rule from the table below. Then write a function rule. x: 2 4 6 y: 1 0 –1 i know its so simple but im having so much trouble!!!:( pls help!

asked by zumai on May 19, 2014
6. ### math help !

3. Which function rule would help you find the values in the table ? n 2 4 6 m -8 -16 -24 A) m = -2n B) m = n - 2 C) m = n - 4 D) m = -4n 2. Explain how to write a function rule from the table below. Then write a function rule. x

asked by kelsey on May 18, 2014
7. ### pre algebra

Explain how to write a function rule from the table below. Then write a function rule. x: 2, 4, 6 y: 1, 0, -1 please help, I don't know how to find the answer

asked by Bleaktuber on March 27, 2019
8. ### Math ~ Check Answers ~

Explain how to write a function rule from the table below. Then write a function rule. X: 2 | 4| 6 | And: 1 | 0 | -1 | My Answer: y = -1/2 x But, -1/2 (2) = -1, and y(2) = 1, so we need to add 2 at the start. So, y = 2 - 1/2 x

asked by Chloé on June 3, 2014
9. ### Simpson's rule

Is the simpson's rule always more accurate than the midpoint rule and trapezoidal rule? Not always; it is possible that the midpoint and/or trapezoidal rule determine exact values. 1. Some functions values for a function f are

asked by 413 on October 24, 2006
10. ### Math - Calculus Question.

hey can someone explain to me the relationship between the chain rule and implicit differentiation? It would be very much appreicated, thanks The chain rule is utilized whenever you have a function within a function such as cos^2

asked by Andrew D on December 6, 2006

More Similar Questions