Question

question
determine if the following is a function, and if it is a one - to - one function.
{(6,5),(5,5),(3,7),(1,1),(2,8)}

answer
○ not a function
○ a function, not one - to - one
○ a one - to - one function

Explanation:

Step1: Check if it's a function

A relation is a function if each input (first element of the ordered pair) has exactly one output (second element). Here, the inputs are 6, 5, 3, 1, 2. Each input appears only once, so each has one output. So it is a function.

Step2: Check if it's one - to - one

A function is one - to - one if no two different inputs have the same output. Here, the input 6 and input 5 both have an output of 5. So, there are two different inputs with the same output, so it is not one - to - one.

Answer:

B. A function, not one - to - one