Given bunch of ordered pairs ${(0, 0), (1, - 1), (1, 1), (4, - 2), (4, 2)}$ .This is

Not a relation

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Function

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Not a Function

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Solution

The correct option is C Not a Function
Given ordered pairs ${(0, 0), (1, - 1), (1, 1), (4, - 2), (4, 2)}$ .
This is a relation.

$x$ $y$

$0$ $0$

$1$ $- 1$

$1$ $1$

$4$ $- 2$

$4$ $2$

For $x = 0, y = 0$
for $x = 1, y = - 1, 1$
For $x = 4, y = - 2, 2$

For $x$ values $1$ and $4$ there are two values in $y$ associated with them.

For a relation to be a function, each and every value in $x$ must correspond to a different value in $y .$

Since there are two values that are coming out for $1$ and $4.$
$∴$ the given relation is not a function.

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Given bunch of ordered pairs {(0,0),(1,−1),(1,1),(4,−2),(4,2)}.This is

Given bunch of ordered pairs ${(0, 0), (1, - 1), (1, 1), (4, - 2), (4, 2)}$ .This is