anonymous
  • anonymous
determine which set of ordered pairs is a function. a.{(-1,3),(1,4),(-1,5)} b. {(5,3),(-6,3),(-2,4)} c. {(0.5, 1.6),(1, 1.75),(1.5, 2.3), (0.5, 3.6)} d. {(1,2), (-5,4),(3,6),(-5,2)}
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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myininaya
  • myininaya
Ok do any of your sets include 2 or more points with the same x but with different y?
myininaya
  • myininaya
For the first one: Do any of your points have same x but different y?
ChrisS
  • ChrisS
This is the same as the last question you asked. For a function to be a function, an x value will map to one and *only one* y value.

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anonymous
  • anonymous
it would be A right?
ChrisS
  • ChrisS
Should say for a *relation to be a function...
ChrisS
  • ChrisS
If you see the same x value repeated in the relation set, and it has a different y value with it, then it is not a function.
myininaya
  • myininaya
A) We have same x but different y so A is not a function (-1,5) (-1,3) See same x but different y
anonymous
  • anonymous
b , c or d :) lol
ChrisS
  • ChrisS
Yes, so which one of those relations has each x value listed only once?
ChrisS
  • ChrisS
Each relation set you have to choose from is a set of ordered pairs in the format (x,y) So x will be the first number in each of the ordered pairs.
anonymous
  • anonymous
c? :D
anonymous
  • anonymous
i have a question when they gave you a chart or something and it says whhich relation is a function? how would you know whats the function
ChrisS
  • ChrisS
C has these two ordered pairs included in the relation set. (0.5,1.6) and (0.5,3.6) So the x value of 0.5 is used twice but outputs a different y value each time. 1.6 and 3.6. So c is also not a function. I'm not sure of the format of the chart you are asking about, but assuming it is mapping x values to y values, then the answer to your question is that it is a function when each x value is mapped to one and only one y value. This all refers back to something called the vertical line test. If you can draw a vertical line anywhere on a graph of the relation and hit two (or more) points, then it is not a function. This is exactly because if the vertical line hits two (or more) points, that can only be because a single x value has been mapped to two (or more) y values
anonymous
  • anonymous
oomg thanks!:)
anonymous
  • anonymous
and the answer is d?
ChrisS
  • ChrisS
The answer is b. Because d also has an x value that is used twice and gives a different y value each time. (-5,4) and (-5,2) B is the only choice where each x value appears in the set only once.
anonymous
  • anonymous
thank you' really helped me!
ChrisS
  • ChrisS
you're welcome
ChrisS
  • ChrisS
you're welcome

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