Question

Select Is a Function or Is not a Function to correctly classify each relation. Title Is a Function Is not a Function {(3, 7),(3, 6),(5, 4),(4, 7] { ( 3, 7 ),( 3, 6 ),( 5, 4 ),( 4, 7 ) { ( 3, 7 ),( 3, 6 ),( 5, 4 ),( 4, 7 ) } {(1, 5),(3, 5),(4, 6),(6, 4)}

Answer 1

The first set of relations {(3, 7),(3, 6),(5, 4),(4, 7)} has the input '3' paired with two outputs, so it is not a function. The second set {(1, 5),(3, 5),(4, 6),(6, 4)} has each input paired with exactly one output, so it is a function.

Step-by-step explanation:

To determine if a given set of ordered pairs is a function or not, we need to consider the definition of a function. A function is a relation in which each input (often represented as 'x') has exactly one output (often represented as 'y'). If an input is associated with more than one output, then the relation is not a function.

Let's consider the first set of ordered pairs {(3, 7),(3, 6),(5, 4),(4, 7)}. Here, the input '3' corresponds to two different outputs, '7' and '6'. This violates the definition of a function as each input can only have one output. Therefore, this set Is not a Function.

The second set of ordered pairs {(1, 5),(3, 5),(4, 6),(6, 4)} does not have any input number that maps to more than one output. This set complies with the definition of a function, so it Is a Function.