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1-22.

Gerri made a function machine. Below are four pictures of her machine. (Note that these are all pictures of the same function machine.) Find the rule for Gerri’s function machine.

Function machines, input labeled negative 1, rule labeled, Gerri's, output labeled negative 1.Function machine, input labeled 3, rule labeled, Gerri's, output labeled 27.Function machine, input labeled negative 2, rule labeled, Gerri's, output labeled negative 8.Function machine, input labeled 0, rule labeled, Gerri's, output labeled 0.

Make a table.

Notice that this is not a linear function because the rate of change is different between each pair.

Look for a pattern between all of the points. (Take a guess and then check.)