Question

7. Is the following a function? {(1,3), (2,4), (3,5),(4,10), (5,15),(3,5)}

Answer 1

Answer: Yes it's a function.

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Explanation:

While x = 3 does repeat itself, the y value repeats itself as well for this particular x value. In other words, we have two copies of (3,5). Toss out any duplicate (x,y) pairings and we have this simplified set:

{(1,3), (2,4), (3,5), (4,10), (5,15)}

At this point, we don't have any repeated x values. Therefore, we have a function. Any input x leads to exactly one y output. The y values are allowed to repeat themselves.

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Extra info:

• The domain is {1,2,3,4,5} which is the set of x coordinates
• The range is {3,4,5,10,15} which is the set of y coordinates.
• This function is one-to-one because there are no repeat y values.

Answer 2

Answer:

No

Step-by-step explanation:

If you look at the numbers in each pair, three is the first number (x) in 2 of them. Functions cannot have repeating Xs.