Question

Question
Based on the tables, describe the difference from Linear Function 1 to Linear Function 2.

Linear Function 1

x f(x)
𝑓
(
𝑥
)
1 1
2 2
3 3
Linear Function 2


x f(x)
𝑓
(
𝑥
)
1 6
2 7
3 8
(1 point)
The outputs from Linear Function 2 are increased by units.

Answer 1

To compare the two linear functions based on their outputs, we can analyze the values given in the tables:

**Linear Function 1:**
- When \( x = 1 \), \( f(1) = 1 \)
- When \( x = 2 \), \( f(2) = 2 \)
- When \( x = 3 \), \( f(3) = 3 \)

**Linear Function 2:**
- When \( x = 1 \), \( f(1) = 6 \)
- When \( x = 2 \), \( f(2) = 7 \)
- When \( x = 3 \), \( f(3) = 8 \)

### Observations:
- For \( x = 1 \): \( 6 - 1 = 5 \)
- For \( x = 2 \): \( 7 - 2 = 5 \)
- For \( x = 3 \): \( 8 - 3 = 5 \)

### Conclusion:
The outputs from Linear Function 2 are consistently increased by **5** units compared to Linear Function 1.