Question

Determine whether each table represents a linear, quadratic, exponential function.

Answer 1

I hope this helps! :D

Answer 2

A: Exponential

B: Quadratic

C: Linear

Explanation:

Let analyse each table

• Table A

X Y ΔY/ΔX

1 5 xxxxxx

2 11 11 - 5 = 6

3 29 29 - 11 = 18

4 83 83 - 29 = 54

.....................

We can see that, [ ΔY/ΔX ] increases at the fastest rate out of all functions, so it must be exponential function

• Table B

X Y ΔY/ΔX Δ^2Y/ΔX^2

0 5 xxxxxx xxx

1 7 7 - 5 = 2 xxx

2 13 13 - 7 = 6 6-2 = 4

3 23 23 - 13 = 10 10-6 = 4

..............................

It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values

• Table C

X Y ΔY/ΔX

3 20 xxxxxx

6 18 2 / 3

9 16 2 / 3

15 12 2 / 3

..............

It is a linear because ΔY/ΔX = 2/3 are constant for all values