Question

Use inpul-outpul tables to determine which graph accurately represents the function f (r) =
ge + 3 with inputs of -4, - 2, 0. 2, and 4

Answer 1

To determine which graph accurately represents the function \( f(r) = r + 3 \) using input-output tables, let's first calculate the outputs for the given inputs: -4, -2, 0, 2, and 4.

### Input-Output Table

| Input (r) | Output \( f(r) = r + 3 \) |
|-----------|---------------------------|
| -4 | -4 + 3 = -1 |
| -2 | -2 + 3 = 1 |
| 0 | 0 + 3 = 3 |
| 2 | 2 + 3 = 5 |
| 4 | 4 + 3 = 7 |

### Resulting Values

Now that we have the outputs, here are the values:

- \( f(-4) = -1 \)
- \( f(-2) = 1 \)
- \( f(0) = 3 \)
- \( f(2) = 5 \)
- \( f(4) = 7 \)

### Conclusion

Now, you can use these values to find the correct graph. The points determined from the input-output table are:

- (-4, -1)
- (-2, 1)
- (0, 3)
- (2, 5)
- (4, 7)

When examining potential graphs, look for one that passes through all of these points. The graph should also portray a straight line with a positive slope, reflecting the linear nature of the function \( f(r) = r + 3 \). If you have several options, pick the one that best aligns with these points.