SOLUTION: Definition of Function 1. Given the following​ x(input) and​ y(output) values and please answer the following questions. x y -2 6 5

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Question 1147038: Definition of Function

1. Given the following​ x(input) and​ y(output) values and please answer the following questions.
x y
-2 6
5 0
0 ​-2
2 ​-2
5 ​-2
a. Is this a​ function?
A.
Yes
B.
No
b. Explain in words why this is a function or why it is​ not?
A.
An output value has more than one input value.
B.
Every output has one input
C.
An input value has more than one output value.
D.
Every input has one output
c. Which of the following elements are in the​ domain?
A.
​-2,5,0,2,5
B.
​6,0,-2,-2,-2
d. Which of the following elements are in the​ range?
A.
​-2,5,0,2
B.
​6,0,-2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


In order for a relation to be a function, for any given element in the domain set, there is one and only one corresponding element in the range set.

So if there is a relation where for any element you choose from the domain you get exactly one answer from the range, the relation is a function. However, if there is at least one element in the domain such that you get, "it could be this or it could be that", then it is not a function.

Graph the relation. If you can draw a vertical line anywhere that intersects the graph more than once, then it is not a function.


John

My calculator said it, I believe it, that settles it