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.

1 answer

The outputs from Linear Function 2 are increased by 5 units compared to Linear Function 1.

To see this, we can observe the values of \( f(x) \) for each \( x \):

  • For \( x = 1 \): \( f(1) \) in Linear Function 1 is 1, while in Linear Function 2 it is 6. The difference is \( 6 - 1 = 5 \).
  • For \( x = 2 \): \( f(2) \) in Linear Function 1 is 2, while in Linear Function 2 it is 7. The difference is \( 7 - 2 = 5 \).
  • For \( x = 3 \): \( f(3) \) in Linear Function 1 is 3, while in Linear Function 2 it is 8. The difference is \( 8 - 3 = 5 \).

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