Decide whether the following relation defines a function.
\[
\{(3,5),(1,5),(5,4)\}
\]
Is the set of ordered pairs a function?
No
Yes

Answer

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Answer

Final Answer: \(\boxed{\text{Yes}}\)

Steps

Step 1 ：Decide whether the following relation defines a function: \(\{(3,5),(1,5),(5,4)\}\)

Step 2 ：Check if each x-value has a unique y-value in the given set of ordered pairs.

Step 3 ：ordered_pairs = \{(5, 4), (3, 5), (1, 5)\}

Step 4 ：x_values = [5, 3, 1]

Step 5 ：unique_x_values = \{1, 3, 5\}

Step 6 ：Since the number of x_values is equal to the number of unique_x_values, the relation defines a function.

Step 7 ：Final Answer: \(\boxed{\text{Yes}}\)