Question

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

Linear Function 1

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


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 Linear Function 1 and Linear Function 2, we observe the outputs from each function at the same x-values.

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

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

Now, let's calculate the difference in outputs for each corresponding x-value:

- When \( x = 1 \), the difference is \( 6 - 1 = 5 \)
- When \( x = 2 \), the difference is \( 7 - 2 = 5 \)
- When \( x = 3 \), the difference is \( 8 - 3 = 5 \)

Thus, the outputs from Linear Function 2 are increased by **5 units** compared to Linear Function 1.