Ask Question
16 March, 05:52

1) For A = {a, b, c, d, e} and B = {yellow, orange, blue, green, white, red, black}. a) Define a relation R from A to B that is a function and contains at least 4 ordered pairs. b) What is the domain of this function? c) What is the range of this function?

+5
Answers (1)
  1. 16 March, 07:20
    0
    Answer: The required function is R = { (a, blue), (b, green), (c, green), (d, white), (e, black) }, domain, D = {a, b, c, d, e} and range, R = {blue, green, white, black}.

    Step-by-step explanation: We are given the following two sets:

    A = {a, b, c, d, e}

    and

    B = {yellow, orange, blue, green, white, red, black}.

    We are to define a relation R from A to B that is a function and contains at least 4 ordered pairs. Also, to find the domain and range of the function.

    (a) Let the function R be defined as follows:

    R = { (a, blue), (b, green), (c, green), (d, white), (e, black) }.

    Since R contains five ordered pairs, so this will fulfill our criterion. Also, since each first element is associated with one and only one second element, so R defines a function.

    (b) We know that

    the domain of a function is the set of all the first elements in the ordered pairs, so the domain of the function R will be

    D = {a, b, c, d, e}.

    (c) We know that

    the range of a function is the set of all the second elements in the ordered pairs, so the domain of the function R will be

    R = {blue, green, white, black}.

    Thus, the required function is R = { (a, blue), (b, green), (c, green), (d, white), (e, black) }, domain, D = {a, b, c, d, e} and range, R = {blue, green, white, black}.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “1) For A = {a, b, c, d, e} and B = {yellow, orange, blue, green, white, red, black}. a) Define a relation R from A to B that is a function ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers