Which of the relations given by the following sets of ordered pairs is a function? (3,-3),(3,-1),(3,1),(3,3),(3,5) (1,2),(2,3),(3,4),(5,6),(2,1) (2,-8),(1,-4),(0,0),(1,4),(2,8) (-2,5),(7,5),(-4,0),(3,0),(1,-6)

## Step 1: Define the criteria for a function### A relation is a function if every input (first element of each ordered pair) corresponds to exactly one output (second element). This means no input value can be repeated with different outputs.## Step 2: Analyze the first set of ordered pairs### The first set is \( \{(3,-3),(3,-1),(3,1),(3,3),(3,5)\} \). Here, the input is repeated multiple times with different outputs ( ). Therefore, this set does not define a function.## Step 3: Analyze the second set of ordered pairs### The second set is \( \{(1,2),(2,3),(3,4),(5,6),(2,1)\} \). The input is repeated with two different outputs ( and ). Hence, this set does not define a function.## Step 4: Analyze the third set of ordered pairs### The third set is \( \{(2,-8),(1,-4),(0,0),(1,4),(2,8)\} \). The inputs and are repeated with different outputs ( for , and for ). Thus, this set does not define a function.## Step 5: Analyze the fourth set of ordered pairs### The fourth set is \( \{(-2,5),(7,5),(-4,0),(3,0),(1,-6)\} \). Each input ( ) is unique and corresponds to exactly one output ( ). Therefore, this set defines a function.