Question

Determine if the following set of ordered pairs

represents a function and if so, is the function one-to-one.

$(-2,2),(-1,-3),(0,1),(1,-2),(2,-3)$

Short answer

The function is not one-one.

Step-by-step solution

Step 1. Given information

The set of ordered pairs

$(-2,2),(-1,-3),(0,1),(1,-2),(2,-3)$

Step 2. Write the concept

A set of ordered pairs is called a function if for every value of x there is a corresponding value of y.

Step 3. Calculation

A Function is said to be one-one, if, for each ordered pair, each value of y is matched with only one value of x.

In the ordered pair $(-1,-3)and(2,-3)$the value of y is not paired with only one value of x.

Therefore it is not one-one.