Below are tables of values for four functions.
Determine whether each table could represent an affine function.
(Affine functions are also sometimes called linear functions in some textbooks.)
y = 2 | 21 | 15 | 9 | 3 | 3 |
y = 1 | 15 | 9 | 3 | 3 | 9 |
y = 0 | 9 | 3 | 3 | 9 | 15 |
y = -1 | 3 | 3 | 9 | 15 | 21 |
y = -2 | 3 | 9 | 15 | 21 | 27 |
y / x | x = -2 | x = -1 | x = 0 | x = 1 | x = 2 |
Could this be an affine function?
y = 2 | 14 | -7 | -14 | -7 | 14 |
y = 1 | 29 | 8 | 1 | 8 | 29 |
y = 0 | 34 | 13 | 6 | 13 | 34 |
y = -1 | 29 | 8 | 1 | 8 | 29 |
y = -2 | 14 | -7 | -14 | -7 | 14 |
y / x | x = -2 | x = -1 | x = 0 | x = 1 | x = 2 |
Could this be an affine function?
y = 2 | 16 | 16 | 16 | 16 | 16 |
y = 1 | 4 | 4 | 4 | 4 | 4 |
y = 0 | 0 | 0 | 0 | 0 | 0 |
y = -1 | 4 | 4 | 4 | 4 | 4 |
y = -2 | 16 | 16 | 16 | 16 | 16 |
y / x | x = -2 | x = -1 | x = 0 | x = 1 | x = 2 |
Could this be an affine function?
y = 2 | -13 | -8 | -3 | 2 | 7 |
y = 1 | -10 | -5 | 0 | 5 | 10 |
y = 0 | -7 | -2 | 3 | 8 | 13 |
y = -1 | -4 | 1 | 6 | 11 | 16 |
y = -2 | -1 | 4 | 9 | 14 | 19 |
y / x | x = -2 | x = -1 | x = 0 | x = 1 | x = 2 |
Could this be an affine function?
You can earn 50% partial credit for 2 - 3 correct answers.