Question

1. Find the cubic function that models the data in the table below.

x -2,-1,0,1,2,3,4

y 48,9,0,3,0,-27,-96

y= ______? (​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 1,-0.5,0,-0.5,1,13.5,52

y = ______ ? (Simplify your answer. Do not factor. Use integers or decimals for any numbers in the​ expression.)

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,-1,0,1,5,14

4. Find the cubic function that is the best fit for​ f(x) defined by the following table.

x 0,1,2,3,4,5

f(x) 0,3,9,26,811,196

y= (__)x³+(__)x²+(__)x+(__) (Type integers or decimals rounded to the nearest​ thousandth.)

                                                                                                     

Answer 1

hem .6 A-2-2 8=2

2, 2 vihg and -a (b) b+1 ba-3 2 uation s 2 2