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
units.

Answer 1

To compare Linear Function 1 and Linear Function 2, we need to examine how the output values (f(x)) differ for the corresponding input values (x).

For Linear Function 1:

• When x = 1, f(1) = 1
• When x = 2, f(2) = 2
• When x = 3, f(3) = 3

For Linear Function 2:

• When x = 1, f(1) = 6
• When x = 2, f(2) = 7
• When x = 3, f(3) = 8

Now, let's find the differences between the corresponding outputs of the two functions:

• For x = 1: f(1) in Linear Function 2 (6) - f(1) in Linear Function 1 (1) = 6 - 1 = 5
• For x = 2: f(2) in Linear Function 2 (7) - f(2) in Linear Function 1 (2) = 7 - 2 = 5
• For x = 3: f(3) in Linear Function 2 (8) - f(3) in Linear Function 1 (3) = 8 - 3 = 5

From this comparison, we can see that the outputs from Linear Function 2 are consistently increased by 5 units compared to Linear Function 1.