Does the relationship show a function?(4 points)

Question

True False
{ (0, -4) (2, 7) (4, -4) (1, 9) (3, 7)}

Answer 1

To determine if the relationship is a function, we need to check if each input (the first element of each ordered pair) maps to exactly one output (the second element of the pair).

Let's look at the given set of ordered pairs:

1. (0, -4)
2. (2, 7)
3. (4, -4)
4. (1, 9)
5. (3, 7)

Now, we examine the first elements:

• The inputs are: 0, 2, 4, 1, 3.

Each input is unique and corresponds to a different output.

Now, let's summarize:

• 0 → -4
• 1 → 9
• 2 → 7
• 3 → 7
• 4 → -4

Since no input is repeated, and each input corresponds to exactly one output, this relationship is indeed a function.

Therefore, the answer is True.