Function relation

Question

Determine whether the relation is a function. Give the domain and the range for the relation. {(1,3), (5,6), (8,8)}

Answer 1

Hi, Titus!

To answer this question, let's first start by writing out the domain and range for this relation. The domain is the set of all input values (x-values) of the relation, and the range is the set of all output values (y-values). Therefore, given our three ordered pairs with the form (x, y), we can identify the domain and range as:

Domain = {1, 5, 8}

Range = {3, 6, 8}

We can then use this information to determine whether or not this relation is a function. A function is a special kind of relation in which each x-value is associated with only one y-value. Looking at our listed-out x and y values, we can tell that the relation that we are given does obey this rule, and therefore it does qualify as a function!

I hope this explanation was helpful, and please don't hesitate to reach out if you have any further questions!