Which of the following relations is not a function?

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Question: Which of the following relations is not a function?

Options:

Correct Answer: R = {(1, 2), (1, 3)}

Solution:

R = {(1, 2), (1, 3)} is not a function because the input 1 maps to two different outputs.

Which of the following relations is not a function?

Which of the following relations is not a function?

Step 1: Understand what a function is. A function is a relation where each input (or 'x' value) has exactly one output (or 'y' value).
Step 2: Look at the given relation R = {(1, 2), (1, 3)}. This means that the input 1 is paired with two different outputs: 2 and 3.
Step 3: Check if any input has more than one output. In this case, the input 1 has outputs 2 and 3.
Step 4: Since the input 1 maps to two different outputs, this means R is not a function.

No concepts available.