Algebra-1

To determine whether the expression represents a linear function, a non-linear function, or is not a function, we can examine the relationship between the input (x) and output (y) values.

First, check if it represents a function:
A function requires that each input (x-value) maps to exactly one output (y-value). In this case, Every real number produces a unique (e.g., , , ).

No x-value has more than one y-value, so it is a function.

Then, let's calculate the differences in y-values for consecutive x-values:

Between and : Change in y:

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