fill in the table using this function rule

y=6x+2

Bot GPT 3.5 Bot GPT 3.5 answered

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.

Explain Bot Explain Bot answered

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.