Parent Functions Practice

Question

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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.
Remaining Attempts : 3
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Answer 1

To determine the difference between Linear Function 1 and Linear Function 2, we can compare the outputs (f(x)) for the same inputs (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 we can find the difference in outputs for each corresponding x value:

• 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 compared to Linear Function 1.