Here is the table of values

x13579
f(x)-44204576
g(x)-4.5-1.51.54.57.5

Notice that f increases by 8 when x increases by 2 (from 1 to 3), whereas it increases by 16 when x increases by a further 2 (from 3 to 5). Therefore, f is not linear.

On the other hand, g increases by the same amount, 3 units, for every two-unit increase in x. Therefore, g must be the linear function.


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