Question

Does the following relation represent a function?$\left\{\left(-3,8\right),\left(1,3\right),\left(2,5\right),\left(3,8\right)\right\}$.

Short answer

The relation represent a function.

Step-by-step solution

Step 1. Given information.

Does the following relation represent a function?

$\left\{\left(-3,8\right),\left(1,3\right),\left(2,5\right),\left(3,8\right)\right\}$

Step 2. Determine function.

The given relation is$\left\{\left(-3,8\right),\left(1,3\right),\left(2,5\right),\left(3,8\right)\right\}$.

This relation is a function because there are no ordered pairs with the same first element and different second elements.

Step 3. Conclusion.

The given relation represent a function.