Identify the type of growth in each table below as linear or non-linear.  

1. $x$	x column 1 $-2$	x column 2 $-1$	x column 3 $0$	x column 4 $1$	x column 5 $2$	x column 6 $3$
   $y$	y column 1 $-8$	y column 2 $-1$	y column 3 $0$	y column 4 $1$	y column 5 $8$	y column 6 $27$

   Hint (a):

   When $x$ increases by $1$, does $y$ increase by a specific amount? If it helps, take the data points and plot them on a graph.

   Answer (a):

   This table shows non-linear growth. $y$ does not increase at a consistent rate, and the points on the graph do not form a line.

2. $x$	x column 1 $-2$	x column 2 $-1$	x column 3 $0$	x column 4 $1$	x column 5 $2$	x column 6 $3$
   $y$	y column 1 $4$	y column 2 $6$	y column 3 $8$	y column 4 $10$	y column 5 $12$	y column 6 $14$

   Hint (b):

   See the help for part (a).

   Answer (b):

   This table shows linear growth. Make sure you are able to explain why.

3. $x$	x column 1 $-2$	x column 2 $-1$	x column 3 $0$	x column 4 $1$	x column 5 $2$	x column 6 $3$
   $y$	y column 1 $\frac { 1 } { 4 }$	y column 2 $\frac { 1 } { 2 }$	y column 3 $1$	y column 4 $2$	y column 5 $4$	y column 6 $8$

   Hint (c):

   See the help for part (a).