Question

K = {(-3, -3), (-4, -4), (-5, -5), (-6, -6)} Is K a function and why? No, there is a limited number of ordered pairs in this list. Yes, there is more than one ordered pair in this list. Yes, no two ordered pairs in this list has the same second element. Yes, no two ordered pairs in this list has the same first element.

Answer 1

Yes, no two ordered pairs in this list has the same first element.

x values can only have one y value

different x values CAN have the same y value ex (3,3) (4,3).

Answer 2

Yes, no two ordered pairs in this list has the same second element.

Explanation:

The function is a relation that associates to different elements
`x_1` and
`x_2` different elements
`y_1` and
`y_2.`

Given K = {(-3, -3), (-4, -4), (-5, -5), (-6, -6)}

So,

• 
  `x_1=-3\rightarrow y_1=-3;`
• 
  `x_2=-4\rightarrow y_2=-4;`
• 
  `x_3=-5\rightarrow y_3=-5;`
• 
  `x_4=-6\rightarrow y_4=-6.`

Since different x have different image points y, this relation is the function. The correct answer is "Yes, no two ordered pairs in this list has the same second element."