Question

Write the correct function name and justification for the corresponding table in the space provided (linear, quadratic, exponential)

Answer 1

Part A

The minimum value is (3,-4)

Looking at the first differences

x 0 1 2 3 4

y 5 0 -3 - 4 -3

1st difference

-5 -3 -1 1

2nd difference

+2 +2 +2

The 2nd difference is the same so this is a quadratic equation

Part B

x 2 5 6 8 10

y 5 14 17 23 29

Slope

(9/3 =3), (3/1) (6/2=3) (6/2) =3

The slope is the same so the function is linear

Part C

x -3 -2 -1 0 1

y 8 4 2 1 1/2

We multiply by 1/2 each time

8*1/2 = 4 * 1/2 = 2 * 1/2 =1 * 1/2 = 1/2

This means that it is an exponential function