Question

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

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

Short answer

The set of ordered pairs is a function, but the function is not one-to-one.

Step-by-step solution

Step 1. Given Information

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

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, each x- value is paired with only one y-value.

Thus, the set of ordered pairs is 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.

In the given set of ordered pairs $(-3,9)and(3,9)$, the y value is not paired with only one x value.

Thus, the function is not one-to-one.