Function is a relation in which no two distinct ordered pairs have the same first elements.a.Trueb.False

The set of second components in the ordered pairs is called the range of the relation.a.Trueb.False

Decide if the following statement about functions is true or false:All relations are functions.

Which of the following is not true?*Every function from the set A to the set B is a relation from the set A to the set B.If f is a function from A to B and (a, b) ∈ f, then f(a) = b, where a is called the pre-image of b under f.Every relation from the set A to the set B is a function from the set A to the set B.If f is a function from A to B and (a, b) ∈ f, then f(a) = b, where b is called the image of a under f.

Given the sets of ordered pairs, determine if they represent a relation or a function. If it is a function,specify the domain and range. (Criteria A)a) {(1,2),(2,3),(1,5),(4,6)}{(1,2),(2,3),(1,5),(4,6)}b) {(3,4),(2,7),(5,2),(3,1)}{(3,4),(2,7),(5,2),(3,1)}c) {(2,3),(5,6),(2,7),(8,1)}{(2,3),(5,6),(2,7),(8,1)}d) {(1,3),(2,5),(3,7),(4,9)}{(1,3),(2,5),(3,7),(4,9)}

Suppose you are given the relation {(1 , 2), (3 , 4), (5 , 6)}. What is an ordered pair that you could add to thisrelation to make it not a function? Why would this ordered pair make the relation not a function?