Question

True or False: The relation {(9,1), (0,1), (9,-3), (-4,12)} is a function.

Answer 1

Given

relation = {(9,1), (0,1), (9,-3), (-4,12)}

Find

Is this a function?

Explanation

A relation is a function only if it relates each element in its domain to only one element in the range.

here , domain 9 has two range value 1 and -3

so it is not a function

Final Answer

Hence , it is false

Answer 2

False

Explanation:

Definition:

Function is a set of coordinate points where each coordinate points do not have same domains (x-values). If we express mathematically, we can do as
`\displaystyle{f=\left \{(x_0,y_0),(x_1,y_1),(x_2,y_2),...,(x_n,y_n)\}\right}` where
`\displaystyle{x_0\\eq x_1 \\eq x_2\\eq \dots \\eq x_n}`Function is also considered to be a relation but not all relations can be functions.

As accorded to the relation, it turns out that there are two same domains (x-values) which is 9 from (9,1) and (9,-3). Therefore, this relation doesn’t satisfy the definition of function so it’s not a function.

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