Question

Determine whether each relation represents a function. For each function, state the domain and range.

$\left\{\left(-1,0\right),\left(2,3\right),\left(4,0\right)\right\}$

Short answer

The given relation is a function.

The domain and the range are $\left\{-1,2,4\right\}$and $\{0,3\}$.

Step-by-step solution

Step 1. Given information.

Consider the given question,

$\left\{\left(-1,0\right),\left(2,3\right),\left(4,0\right)\right\}$

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

Step 2. Find the domain and range.

Consider the given question,

$\left\{\left(-1,0\right),\left(2,3\right),\left(4,0\right)\right\}$

The domain is role="math" localid="1645857561861" $\left\{-1,2,4\right\}$.

The range is$\{0,3\}$.