Determine function type:
Since we have a variable with no exponents:this is a linear function
Since this is a linear function
it is a direct variation equation. The constant of proportionality is 4
Now Plot points from 10 to -10
| x | Plug in x | ƒ(x) = 4x | Ordered Pair |
|---|---|---|---|
| -10 | 4(-10) | -40 | (-10, -40) |
| -9 | 4(-9) | -36 | (-9, -36) |
| -8 | 4(-8) | -32 | (-8, -32) |
| -7 | 4(-7) | -28 | (-7, -28) |
| -6 | 4(-6) | -24 | (-6, -24) |
| -5 | 4(-5) | -20 | (-5, -20) |
| -4 | 4(-4) | -16 | (-4, -16) |
| -3 | 4(-3) | -12 | (-3, -12) |
| -2 | 4(-2) | -8 | (-2, -8) |
| -1 | 4(-1) | -4 | (-1, -4) |
| 0 | 4(0) | 0 | (0, 0) |
| 1 | 4(1) | 4 | (1, 4) |
| 2 | 4(2) | 8 | (2, 8) |
| 3 | 4(3) | 12 | (3, 12) |
| 4 | 4(4) | 16 | (4, 16) |
| 5 | 4(5) | 20 | (5, 20) |
| 6 | 4(6) | 24 | (6, 24) |
| 7 | 4(7) | 28 | (7, 28) |
| 8 | 4(8) | 32 | (8, 32) |
| 9 | 4(9) | 36 | (9, 36) |
| 10 | 4(10) | 40 | (10, 40) |
Determine the y-intercept:
The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 0Determine the x-intercept
The x-intercept is found when y is set to 0The y-intercept is found when y is set to 0. From the grid above, our x-intercept is 0
Determine the domain of the function:
The domain represents all values of x that you can enterThe domain is (-∞, ∞) or All Real Numbers
Determine the range of the function:
The range is all the possible values of y or ƒ(x) that can existThe range is (-∞, ∞) or All Real Numbers
(-10, -40)
(-9, -36)
(-8, -32)
(-7, -28)
(-6, -24)
(-5, -20)
(-4, -16)
(-3, -12)
(-2, -8)
(-1, -4)
(0, 0)
(1, 4)
(2, 8)
(3, 12)
(4, 16)
(5, 20)
(6, 24)
(7, 28)
(8, 32)
(9, 36)
(10, 40)
(-9, -36)
(-8, -32)
(-7, -28)
(-6, -24)
(-5, -20)
(-4, -16)
(-3, -12)
(-2, -8)
(-1, -4)
(0, 0)
(1, 4)
(2, 8)
(3, 12)
(4, 16)
(5, 20)
(6, 24)
(7, 28)
(8, 32)
(9, 36)
(10, 40)
