Mathematics cubic functions and quartic

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cubicandquaticfunction.docx

x

-2

-1

0

1

2

3

4

y

-36

-7

0

-3

-4

9

48

Simplify your answer. Do not factor. Use integers or decimals for any numbers in the expression. Round to three decimal places as​ needed.)

2. Find the quartic function that is the best fit for the data in the table below. Report the model with three significant digits in the coefficients.

x

-2

-1

0

1

2

3

4

y

-17

-1.25

0

-1.25

-17

-83.25

-260

Simplify your answer. Do not factor. Use integers or decimals for any numbers in the​ expression.)

Y=

3. Find a cubic function that models the data in the table. Report the model with three decimal places.

x

1

2

3

4

5

6

y

-2

-1

0

4

8

16

Y=

4.

a. Find the cubic function that is the best fit for the data in the table below.

b. Find the quartic function that is the best fit for the data in the table.

x

1

2

3

4

5

6

7

y

-8

0

3

15

72

196

1475

(Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as​ needed.)

5. Find the quartic function that is the best fit for the data in the following table

x

-3

-2

-1

0

1

2

3

y

55

7

1

1

-5

-5

37

(Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as​ needed.