Let’s work through each part of the task step by step.
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Part 1: Function Machine — Add 1 → y = x + 1
We are given x values: 0, 1, 2, 3
For each, we add 1 to get y.
- When x = 0 → y = 0 + 1 = 1 → Coordinates: (0, 1)
- When x = 1 → y = 1 + 1 = 2 → Coordinates: (1, 2)
- When x = 2 → y = 2 + 1 = 3 → Coordinates: (2, 3)
- When x = 3 → y = 3 + 1 = 4 → Coordinates: (3, 4)
✔ Check: All calculations correct. These points lie on a straight line with slope 1 and y-intercept 1.
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Part 2: Function Machine — Add 3 → y = x + 3
x values: 0, 1, 2, 3
Add 3 to each.
- When x = 0 → y = 0 + 3 = 3 → Coordinates: (0, 3)
- When x = 1 → y = 1 + 3 = 4 → Coordinates: (1, 4)
- When x = 2 → y = 2 + 3 = 5 → Coordinates: (2, 5)
- When x = 3 → y = 3 + 3 = 6 → Coordinates: (3, 6)
✔ Check: Correct. This is also a straight line, steeper than before? No — same slope (1), just shifted up by 3 units.
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Part 3: Function Machine — Multiply by 2 → y = 2x
x values: 0, 1, 2, 3
Multiply each by 2.
- When x = 0 → y = 2 × 0 = 0 → Coordinates: (0, 0)
- When x = 1 → y = 2 × 1 = 2 → Coordinates: (1, 2)
- When x = 2 → y = 2 × 2 = 4 → Coordinates: (2, 4)
- When x = 3 → y = 2 × 3 = 6 → Coordinates: (3, 6)
✔ Check: Correct. This line goes through the origin and has a steeper slope (slope = 2).
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All tables filled correctly. Now, if you were to plot these on the graphs provided, you’d draw straight lines connecting the plotted points for each function.
Final Answer:
First table: y-values: 1, 2, 3, 4; coordinates: (0,1), (1,2), (2,3), (3,4)
Second table: y-values: 3, 4, 5, 6; coordinates: (0,3), (1,4), (2,5), (3,6)
Third table: y-values: 0, 2, 4, 6; coordinates: (0,0), (1,2), (2,4), (3,6)
Parent Tip: Review the logic above to help your child master the concept of making graphs worksheet.
