fill in the table using this function rule
y=6x+2
x | y
-----
0 | 2
1 | 8
2 | 14
3 | 20
4 | 26
5 | 32
To fill in the table using the function rule y = 6x + 2, you need to choose a few values for x and then calculate the corresponding y-values.
Let's select four values of x: -2, -1, 0, and 1.
For x = -2:
y = 6(-2) + 2
y = -12 + 2
y = -10
For x = -1:
y = 6(-1) + 2
y = -6 + 2
y = -4
For x = 0:
y = 6(0) + 2
y = 0 + 2
y = 2
For x = 1:
y = 6(1) + 2
y = 6 + 2
y = 8
Now we can fill in the table:
| x | y |
|---|---|
| -2| -10|
| -1| -4 |
| 0| 2 |
| 1| 8 |
This completes the table using the function rule y = 6x + 2.
To fill in the table using the function rule y = 6x + 2, you will need to substitute different values of x into the equation and solve for y.
Let's start by choosing some values for x. For simplicity, we'll use -2, -1, 0, 1, and 2. You can choose any other values you prefer.
1. For x = -2:
Substitute x = -2 into the equation:
y = 6(-2) + 2
Simplify:
y = -12 + 2
y = -10
2. For x = -1:
Substitute x = -1 into the equation:
y = 6(-1) + 2
Simplify:
y = -6 + 2
y = -4
3. For x = 0:
Substitute x = 0 into the equation:
y = 6(0) + 2
Simplify:
y = 0 + 2
y = 2
4. For x = 1:
Substitute x = 1 into the equation:
y = 6(1) + 2
Simplify:
y = 6 + 2
y = 8
5. For x = 2:
Substitute x = 2 into the equation:
y = 6(2) + 2
Simplify:
y = 12 + 2
y = 14
Now, you can fill in the table with the corresponding values of x and y:
| x | y |
|:-----:|:-----:|
| -2 | -10 |
| -1 | -4 |
| 0 | 2 |
| 1 | 8 |
| 2 | 14 |
This completes the table using the function rule y = 6x + 2.