Hey there! So, let's talk about relations and functions. In our data, a relation is like a set of pairs, where each input has a corresponding output. In a function, every input has only one output.
Looking at our data, we notice that for some inputs, we have multiple outputs. For example, when x is 2, we have two different y-values, 3 and 4. So, this relation is not a function because a single input has more than one output.
Now, let's focus on the equation in Part A: y = 2x + 1. This equation represents a linear relationship between x and y. When we plug in different x-values, we can find the corresponding y-values. Importantly, for every unique x-value, we get a unique y-value. No matter what x-value we choose, the result will always be a single y-value. Therefore, the equation in Part A represents a function.
To summarize, in our data, the relation is not a function because some inputs have more than one output. However, the equation in Part A represents a function because it follows the rule that each input has only one corresponding output. Hope that clarifies things!
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
(make it sound like an eight grade girl who is a tomboy and doesn't say 'like' after every sentence and wants to show her work but not too much work, also make it less than 200 words)
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