Are All Tables Linear?

If all linear relationships can be shown as tables, does that mean all tables are linear? Look at the six tables shown below.

1 Extend as many of the tables as you can by adding the next (x,y) pair in the sequence.

2 If the table is linear, write down your prediction of what the y-value will be when x = 0.

3 If the table is not linear, write not linear instead of an answer for y.

x	-2	-1	0	1	2
y	-2	-3	-4	-5	-6

x	2	3	4	5	6
y	-12	-14	-16	-18	-20

when x=0, y will equal

x	1	2	3	4	5
y	1	4	9	16	25

x	5	6	7	8	9
y	3	3	3	3	3

when x=0, y will equal

x	1	2	3	4	5
y	84	94	104	114	124

x	-10	-9	-8	-7	-6
y	$\displaystyle \frac{-1}{10}$	$\displaystyle \frac{-1}{9}$	$\displaystyle \frac{-1}{8}$	$\displaystyle \frac{-1}{7}$	$\displaystyle \frac{-1}{6}$

when x=0, y will equal

What do you Notice?

What do you Wonder?

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