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

Question

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
u

Answer 1

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

To clarify, for each corresponding value of x in both functions:

• For x = 1:

  • Linear Function 1: f(1) = 1
  • Linear Function 2: f(1) = 6
  • Difference = 6 - 1 = 5

• For x = 2:

  • Linear Function 1: f(2) = 2
  • Linear Function 2: f(2) = 7
  • Difference = 7 - 2 = 5

• For x = 3:

  • Linear Function 1: f(3) = 3
  • Linear Function 2: f(3) = 8
  • Difference = 8 - 3 = 5

Thus, the outputs of Linear Function 2 are consistently 5 units greater than the outputs of Linear Function 1.