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 with Linear Function 2, we can look at the outputs for each corresponding input \( x \):

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, if we analyze the difference in outputs for corresponding inputs \( x \):

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

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