x | 1 | 3 | 5 | 7 | 9 |
f(x) | -4 | 4 | 20 | 45 | 76 |
g(x) | -4.5 | -1.5 | 1.5 | 4.5 | 7.5 |
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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