Question

In the following exercises, determine if the set of ordered pairs represents a function and if so, is the function one-to-one:

$\left\{\right(9,-3),(4,-2),(1,-1),(0,0),(1,1),(4,2),(9,3\left)\right\}$

Short answer

The set of ordered pairs is neither a function nor one-to-one.

Step-by-step solution

Step 1. Given Information

The given ordered pair is$\left\{\right(9,-3),(4,-2),(1,-1),(0,0),(1,1),(4,2),(9,3\left)\right\}.$

We have to determine if the set of ordered pairs represents a function and if so, is the function one-to-one.

Step 2. Identifying does the set of ordered pairs represents a function

An ordered pair is a function if each x-value is matched with only one y-value.

In the given set of ordered pairs $(9,-3)and(9,3)$, the x- value has more than one y-value.

Thus, the set of ordered pairs is not a function.

Step 3. Identifying does the function is one-to-one

A function is one-to-one if each yvalue is paired with only one x value.

The given set of ordered pairs is not a function, so it can't be one-to-one.