Neco 2023 Further Mathematics Question 1

Practice essay / theory question 1 from the 2023 Neco Further Mathematics examination. This question covers Sets, Functions, Binary Operations .

Neco 2023 Further Mathematics Essay / Theory

Topics: Sets Functions Binary Operations

Question 1 NECO • 2023 • FURTHER_MATHEMATICS • essay

Consider the set A = {1, 2, 3, 4}. A relation R on A is defined by the set of ordered pairs R = {(1,2), (2,4), (3,1), (4,3)}. A binary operation * on A is defined by a * b = (a + b) \bmod 5, where the result 0 is written as 5. Answer the following questions:

( a )

State whether R is a function from A to A. Justify your answer.

( b )

Find the composition R \circ R and list its ordered pairs.

( c )

For the operation * on A: (i) Determine whether * is associative. (ii) Find the identity element, if any, in A.

( ) Determine whether * is associative.

( ) Find the identity element in A, if it exists.

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This is Neco 2023 Further Mathematics Question 1. It is one of the essay questions from the 2023 Neco Further Mathematics examination.

The question covers Sets, Functions, Binary Operations .

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