Question

Identify the domain and range of the function​

Answer 1

Step-by-step explanation: Here we're given a relation in the form of a mapping diagram and we're asked to identify the domain and range.

We can first translate the mapping diagram into a list of ordered pairs.

Notice that the 1 is connected with the -2, the 3 is connected with the 2, the 5 is connected with the -14, and the -3 is connected with the -14.

So we have the following points:

{(1,-2)(3,2)(5,-14)(-3,-14)}

The domain is the set of all x-coordinates for those ordered pairs. Also, it's usually written from least to greatest.

Domain = {-3, 1, 3, 5}

The range is the set of all y-coordinates for our ordered pairs. Just like the domain, it's written usually written from least to greatest.

Range = {-14, -2, 2}

Answer 2

The domain is the set of input numbers (x values). The range is the set of output numbers (y values). Note that if the domain or range as more then one of the same value you only put it once.

Domain: {1, 3, 5, -3}

Range: {-2. -14, 2}

Best of Luck!