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Examples

(- 5, 9)

$(- 5, 9)$ ,

(3, 9)

$(3, 9)$

Step 1

Since for each value of

x

$x$ there is one and only one value of

y

$y$ , the given relation

(- 5, 9), (3, 9)

$(- 5, 9), (3, 9)$ is a function.

The relation is a function.

Step 2

Since for each value of

y

$y$ there is more than one

x

$x$ value, the given relation

(- 5, 9), (3, 9)

$(- 5, 9), (3, 9)$ is not a one-to-one function.

This relation is not a one-to-one function.

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$