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

Write The Correct Function Name And Justification For The Corresponding Table In The Space Provided Linear Quadratic Exponential class=

Sagot :

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

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