Question 30251: Is each a function? Explain
1. {(1,9), (9,-1), (-1,8), (-9,1)}
2. {(2,5), (-2,4), (3,-8), (-2,7), (-1,4)}
Answer by mukhopadhyay(490)   (Show Source):
You can put this solution on YOUR website! Based on the definition of a function, there cannot be more than one f(x) value for the same x;
In example 1, Since x value is not duplicated (possible values of x are 1, 9, -1, and -9), the situation of more than one f(x) for the same x does not arise and hence it is a function.
In example 2, x value duplicates in {-2,4), {-2,7}). For x = -2, the values of f(x) are 4 and 7; So, this is not a function.
|
|
|
