Questions: Is this a function? f(x)=

Transcript text: Is this a function? $f(x)=$

Solution

Solution Steps

To determine if a given expression represents a function, we need to check if for every input $ x $, there is exactly one output $ f(x) $. This can be done by analyzing the expression or using a set of input-output pairs to see if any input maps to more than one output.

Step 1: Define the Problem

We need to determine if the given set of input-output pairs represents a function. A function is defined such that for every input $ x $, there is exactly one output $ f(x) $.

Step 2: Analyze the Input-Output Pairs

Given the input-output pairs: \[ \{(1, 2), (2, 3), (3, 4), (1, 2)\} \]

Step 3: Check for Unique Outputs for Each Input

We need to verify that each input $ x $ maps to a unique output $ y $. In the given pairs: