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Which set of ordered pairs represents a function? (1 point)

{(0, 1), (1, 2), (2, 3), (3, 3)}

{(0, 1), (1, 2), (1, 3), (2, 5)}

{(0, 0), (1, 2), (2, 4), (2, 6)}

{(0, 0), (0, 1), (2, 0), (2, 4)}

Respuesta :

gypsyhorse4me
A. {(0, 1), (1, 2), (2, 3), (3, 3)} is a function. It doesn't have an ordered pair with the same x-intercept, like B. C. and D. do.

Hope this helps!!
~Kiwi
LudwigGR

Answer:

The ordered pair {(0, 1), (1, 2), (2, 3), (3, 3)} represents a function while the others don't.

Step-by-step explanation:

First you need to recall the (informal) definition of function: every value of the domain has one and only one image. Let us analyze each example:

  1. {(0, 1), (1, 2), (2, 3), (3, 3)} The domain is the set {0,1,2,3}, notice that it is formed by the x-components. From here it is easy to check that each element of the domain has only one image.
  2. {(0, 1), (1, 2), (1, 3), (2, 5)} This set of ordered pairs isn't a function. Notice that the domain is {0,1,2} and the element 1 has to images: 2 and 3.
  3. {(0, 0), (1, 2), (2, 4), (2, 6)} Just like the above. In this case the element 2 is the one with two images: {(2,4),(2,6)}.
  4. {(0, 0), (0, 1), (2, 0), (2, 4)}. Notice that 0 has two images: {(0,0),(0,1)}.

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