Cubic and quartic functions
1. Find the quadratic function that is the best fit for f(x) defined by the table below.
|
x |
0 |
2 |
4 |
6 |
8 |
10 |
|
|
F(x) |
0 |
399 |
1601 |
3598 |
6409 |
10,004 |
|
The quadratic function is
.
(Type an equation using x as the variable. Round to two decimal places as needed.
2.
Find the quadratic function that is the best fit for f(x) defined by the table below.
|
x |
0 |
2 |
4 |
6 |
|
F(x) |
1 |
-8.6 |
-17.4 |
-25.4 |
F(x) =
( Use integers or decimals for any numbers in the expression. Round to the nearest tenth as needed.)
3.
a. Find a power function that models the data below.
b. Find a linear function that models the data.
c. Visually determine which model is a better fit.
|
X |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
y |
3 |
9 |
18 |
30 |
45 |
61 |
|
Round to the nearest tenth as needed.
4.
a. Find a power function that models the data below.
b. Find a linear function that models the data.
c. Visually determine if each model is a good fit.
|
x |
4 |
5 |
8 |
9 |
|
|
y |
6.8 |
9 |
15.1 |
17 |
|
(Use integers or decimals for any numbers in the expression. Round to the nearest thousandth
Y=