Answer:
Table A: exponencial function
Table B: quadratic function
Table C: linear function
Step-by-step explanation:
Table A:
for x from 1 to 2, Y increased by 6
for x from 2 to 3, Y increased by 18
for x from 3 to 4, Y increased by 54
So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.
Table B:
for x from 1 to 2, Y increased by 6
for x from 2 to 3, Y increased by 10
for x from 3 to 4, Y increased by 14
The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.
Table C:
for x from 3 to 6, Y increased by -2
for x from 6 to 9, Y increased by -2
for x from 9 to 12, Y increased by -2
The increment of Y is constant for the same increment of X, so this is a linear function.
