Question

Which relation represents a function?

•{(0,0).(2,3).(2,5),(6,6)}
•{(3,5). (8.4).(10,11).(10,6)}
• {(-2,2).(0,2).(7:2).(11.2)
•{(13,2)(13,2). (13,4). ( 13,5)}

Answer 1

{(-2,2),(0,2),(7,2),(11,2)}

Explanation:

A function, by definition, can only have one y value for any x value--one output for any particular input. In {(0,0),(2,3),(2,5),(6,6)}, there is more than one possible value of y for x=2. In {(3,5),(8,4),(10,11),(10,6)}, there is more than one possible value of y for x=10. In {(13,2),(13,2),(13,4),(13,5), there is more than one possible value of y for x=13. Thus, {(-2,2),(0,2),(7,2),(11,2)} is a function.

Hope this helps!

Answer 2

The third one

Look for relationships between x and y values.

In a function, you cannot have two repeated x values thats have separate y values. In general, if two x values exist of the same number, its usually not a function.

In the first one, if x = 2, then y = 3 or 5


In the second one, if x = 10. then y = 11 or 6


In the fourth one, if x = 13, then y = 2, 3, or 5