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The table above represents what type of function?

The table above represents what type of function?-example-1

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Answer: Linear function.

Explanation:

Let's start by discussing linear and nonlinear. A linear relationship/function means that for every change in x, we have the same change in y. For example, every time x increases by 1, we increase y by 1. A nonlinear relationship does not change equally. When x changes by 1, y might change by 1, then 2, then 3, etc. Not the same every time.


If we look at the table, we see that for every change in x, y increases by 2. Therefore, we have a linear relationship or function.

We can verify this by plotting. A linear relationship is a straight line. When we plot these points, we see a straight line is formed.

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