Question 1195888: Each set of ordered pairs represents a function. Write a rule that represents the function.
(2,5), (4,9), (5,11), (7,15), (10,21)
Found 3 solutions by MathLover1, ikleyn, greenestamps:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
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A relation is a function if it relates every element in its domain to one and only one element in the range.
Domain:{2,4,5,7,10}
Range:{5,9,11,15,21}
every element in its domain to one and only one element in the range
The list of ordered pairs is a function.
check if a function is linear
use (2,5), (4,9) and set up the system
 ........ .....solve for 
 ........ eq.2
from eq.1 and eq.2 we have
 ...... .....solve for 
 ........ eq.1
a rule that represents the function is
Answer by ikleyn(52794)  (Show Source):
You can put this solution on YOUR website! .
Each set of ordered pairs represents a function. Write a rule that represents the function.
(2,5), (4,9), (5,11), (7,15), (10,21)
~~~~~~~~~~~~~~~~
What is written in this post, is soup of words,
and a person who created it, suffers of misunderstanding of what he (or she) writes.
First statement in the post is INCORRECT.
It is incorrect, because NOT EACH set of ordered pairs represents a function.
For example, this set of ordered pairs (1,2), (1,3), (1,4) does not represent a function.
Fortunately, the concrete set of ordered pairs, presented in the post, does really represent a function, saving the meaning.
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
To the student who submitted the question....
Take a moment to think about what you are posting. Your assignment sheet might say "each (of the following) ordered pairs represents a function"; but when in your post you only show one of the examples on your sheet, the statement is incorrect, because it is NOT true that "each" (every) set of ordered pairs represents a function.
Now to the example you show....
Perhaps your assignment sheet specifies that all the examples either are not functions or they represent LINEAR functions. But your post says nothing about linear functions. So a valid answer to the problem as you post it would be the function defined as follows:
{(x,y)=(2,5), (4,9), (5,11), (7,15), (10,21)}
or as
{f(2)=5; f(4)=9; f(5)=11; f(7)=15; f(10)=21}
By cutting and pasting to make your post, you lost important context, making the intent of the question uncertain. Think about that when you make a post, as a way of being respectful to those of us who are here to try to answer your questions.
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