Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
To determine if the given set of ordered pairs represents a function, we need to check if each [tex]$x$[/tex]-value corresponds to exactly one [tex]$y$[/tex]-value. A set of ordered pairs represents a function if no [tex]$x$[/tex]-value is repeated with different [tex]$y$[/tex]-values.
The given set of ordered pairs is:
[tex]$ \{(-5,-5), (-1,-2), (0,-2), (3,7), (8,9)\} $[/tex]
Let's list the [tex]$x$[/tex]-values:
[tex]$ -5, -1, 0, 3, 8 $[/tex]
Now, let's check each [tex]$x$[/tex]-value to see if it pairs with more than one [tex]$y$[/tex]-value:
- [tex]$-5$[/tex] pairs with [tex]$-5$[/tex]
- [tex]$-1$[/tex] pairs with [tex]$-2$[/tex]
- [tex]$0$[/tex] pairs with [tex]$-2$[/tex]
- [tex]$3$[/tex] pairs with [tex]$7$[/tex]
- [tex]$8$[/tex] pairs with [tex]$9$[/tex]
We see that each [tex]$x$[/tex]-value is paired with exactly one [tex]$y$[/tex]-value. There are no [tex]$x$[/tex]-values that are repeated with different [tex]$y$[/tex]-values.
Thus, the given set of ordered pairs does represent a function because every [tex]$x$[/tex]-value corresponds to exactly one [tex]$y$[/tex]-value.
Therefore, the answer is:
C. Yes, because every [tex]$x$[/tex]-value corresponds to exactly one [tex]$y$[/tex]-value.
The given set of ordered pairs is:
[tex]$ \{(-5,-5), (-1,-2), (0,-2), (3,7), (8,9)\} $[/tex]
Let's list the [tex]$x$[/tex]-values:
[tex]$ -5, -1, 0, 3, 8 $[/tex]
Now, let's check each [tex]$x$[/tex]-value to see if it pairs with more than one [tex]$y$[/tex]-value:
- [tex]$-5$[/tex] pairs with [tex]$-5$[/tex]
- [tex]$-1$[/tex] pairs with [tex]$-2$[/tex]
- [tex]$0$[/tex] pairs with [tex]$-2$[/tex]
- [tex]$3$[/tex] pairs with [tex]$7$[/tex]
- [tex]$8$[/tex] pairs with [tex]$9$[/tex]
We see that each [tex]$x$[/tex]-value is paired with exactly one [tex]$y$[/tex]-value. There are no [tex]$x$[/tex]-values that are repeated with different [tex]$y$[/tex]-values.
Thus, the given set of ordered pairs does represent a function because every [tex]$x$[/tex]-value corresponds to exactly one [tex]$y$[/tex]-value.
Therefore, the answer is:
C. Yes, because every [tex]$x$[/tex]-value corresponds to exactly one [tex]$y$[/tex]-value.
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.