Question

Complete the table and then graph the function.
y= x + 3
x y
1
2
4

Answer 1

To complete the table for the function \( y = x + 3 \), we can substitute the values of \( x \) into the equation to find the corresponding values of \( y \).

### Table Completion
- For \( x = 1 \):
\[
y = 1 + 3 = 4
\]
- For \( x = 2 \):
\[
y = 2 + 3 = 5
\]
- For \( x = 4 \):
\[
y = 4 + 3 = 7
\]

Now, let's fill in the table:

| x | y |
|---|---|
| 1 | 4 |
| 2 | 5 |
| 4 | 7 |

### Graphing the Function
To graph the function \( y = x + 3 \), you can plot the points:

1. \( (1, 4) \)
2. \( (2, 5) \)
3. \( (4, 7) \)

Once the points are plotted, you can draw a straight line through them since \( y = x + 3 \) is a linear function. The line will have a slope of 1 and a y-intercept of 3.

Please use graphing paper or graphing software to visualize the function accurately. The line will run diagonally from the lower left to the upper right on the graph.