Question

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

$\left\{\right(-2,5),(-1,3),(3,7),(4,12\left)\right\}$

Short answer

The domain of function is $\{-2,-1,3,4\}$and range is $\{5,3,7,12\}$.

Step-by-step solution

Step 1. Given Information 

In the given question we have to determine whether each relation represents a function and for each function, we have to state the domain and range.

$\left\{\right(-2,5),(-1,3),(3,7),(4,12\left)\right\}$

Step 2. This relation is a function because there are no ordered pairs with the same first element and different second elements.

The domain is the set of all the values of $x$.

Domain:$\{-2,-1,3,4\}$

Step 3. The range is the set of all values of y.

Range:$\{5,3,7,12\}$