Problem

a) Draw an example of a relation that is a function and explain why.

Solution

Step 1 :Draw an example of a relation that is a function. A relation is a function if for every input, there is exactly one output. In other words, no two ordered pairs in the relation have the same first element.

Step 2 :Consider a simple relation where the input is a number and the output is the square of that number. This is a function because for every input number, there is exactly one output which is the square of the input.

Step 3 :Define the inputs and outputs as follows: inputs = [1, 2, 3, 4, 5], outputs = [1, 4, 9, 16, 25].

Step 4 :\(\boxed{\text{The relation defined by the square function is a function because for each input, there is exactly one output. For example, the input 1 maps to the output 1, the input 2 maps to the output 4, and so on. No two inputs map to the same output, so this relation is a function.}}\)

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Source: https://solvelyapp.com/problems/8011/

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