Let’s solve this step by step.
We are given two function tables:
First table: n + 2 → coordinates (n, n+2)
Second table: n · 2 → coordinates (n, n×2)
We need to fill in the missing y-values for each x-value (which is “n”), then graph them. But since we’re only asked to find the values and fill in coordinates, let’s do that first.
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First Table: n + 2
This means: take the value of n, add 2, and that’s your y-coordinate. The coordinate pair is (n, n+2).
Given n values: -4, -3, -2, -1, 0, 1, 2, 3, 4
Calculate:
- n = -4 → -4 + 2 =
-2 → (-4, -2)
- n = -3 → -3 + 2 =
-1 → (-3, -1)
- n = -2 → -2 + 2 =
0 → (-2, 0)
- n = -1 → -1 + 2 =
1 → (-1, 1)
- n = 0 → 0 + 2 =
2 → (0, 2)
- n = 1 → 1 + 2 =
3 → (1, 3)
- n = 2 → 2 + 2 =
4 → (2, 4)
- n = 3 → 3 + 2 =
5 → (3, 5)
- n = 4 → 4 + 2 =
6 → (4, 6)
✔ All filled in.
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Second Table: n · 2
This means: multiply n by 2 → y = 2n → coordinate (n, 2n)
Same n values: -4 to 4
Calculate:
- n = -4 → -4 × 2 =
-8 → (-4, -8)
- n = -3 → -3 × 2 =
-6 → (-3, -6)
- n = -2 → -2 × 2 =
-4 → (-2, -4)
- n = -1 → -1 × 2 =
-2 → (-1, -2)
- n = 0 → 0 × 2 =
0 → (0, 0)
- n = 1 → 1 × 2 =
2 → (1, 2)
- n = 2 → 2 × 2 =
4 → (2, 4)
- n = 3 → 3 × 2 =
6 → (3, 6)
- n = 4 → 4 × 2 =
8 → (4, 8)
✔ All filled in.
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Now, just to double-check a few:
For first table:
At n=0 → 0+2=2 ✔️
At n=-4 → -4+2=-2 ✔️
For second table:
At n=3 → 3×2=6 ✔️
At n=-4 → -4×2=-8 ✔️
All correct.
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Final Answer:
First Table (n + 2):
(-4, -2), (-3, -1), (-2, 0), (-1, 1), (0, 2), (1, 3), (2, 4), (3, 5), (4, 6)
Second Table (n · 2):
(-4, -8), (-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4), (3, 6), (4, 8)
Parent Tip: Review the logic above to help your child master the concept of graphing tables worksheet.