Question

or
Complete the table and then graph the function.
y = 2x
x y
0
1
3

Answer 1

To complete the table for the function \( y = 2x \), we can calculate the corresponding values of \( y \) for the given \( x \) values.

- When \( x = 0 \):
\[
y = 2(0) = 0
\]

- When \( x = 1 \):
\[
y = 2(1) = 2
\]

- When \( x = 3 \):
\[
y = 2(3) = 6
\]

Now, we can fill in the completed table:

| \( x \) | \( y \) |
|-----------|-----------|
| 0 | 0 |
| 1 | 2 |
| 3 | 6 |

### Graphing the Function
You can plot the points from the table:

1. \( (0, 0) \)
2. \( (1, 2) \)
3. \( (3, 6) \)

To graph the function:

1. Mark the x and y axes.
2. Plot the points based on the table:
- The point (0, 0) is the origin.
- The point (1, 2) is in the first quadrant.
- The point (3, 6) is also in the first quadrant.
3. Connect the points with a straight line, as this function is linear.

This will provide a visual representation of the linear function \( y = 2x \). The line will pass through the origin and have a slope of 2.