Question

Complete the table and then graph the function.
f(x)=x+3
x f(x)
–
10
1
5

Answer 1

To complete the table for the function \( f(x) = x + 3 \), we will substitute the given values of \( x \) into the function to find \( f(x) \).

Here’s the calculation:

1. For \( x = -10 \):
\[
f(-10) = -10 + 3 = -7
\]

2. For \( x = 1 \):
\[
f(1) = 1 + 3 = 4
\]

3. For \( x = 5 \):
\[
f(5) = 5 + 3 = 8
\]

Now we can complete the table:

| \( x \) | \( f(x) \) |
|:---------:|:------------:|
| -10 | -7 |
| 1 | 4 |
| 5 | 8 |

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

- \( (-10, -7) \)
- \( (1, 4) \)
- \( (5, 8) \)

Then, draw a straight line through these points, as the function is linear. The line will have a slope of \( 1 \) (since the coefficient of \( x \) is \( 1 \)) and a y-intercept of \( 3 \) (where the line crosses the y-axis).