Function Table Worksheets | Function Table & In and Out Boxes ... - Free Printable

Let’s solve each function table one by one. We’ll plug in the given x-values into each equation to find the corresponding y-values.

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1) f(x) = 7x + 7

Given x: 0, -2, -7, 4, 1
We calculate:

- x=0 → 7(0)+7 = 0+7 = 7 ✔ (already filled)
- x=-2 → 7(-2)+7 = -14+7 = -7 ✔
- x=-7 → 7(-7)+7 = -49+7 = -42 ✔
- x=4 → 7(4)+7 = 28+7 = 35 ✔
- x=1 → 7(1)+7 = 7+7 = 14 ✔

All done for #1.

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2) f(x) = -¹/₈x - 2

Given x: 6, -9, 9, 2, 1

Calculate:

- x=6 → -¹/₈(6) - 2 = -6/8 - 2 = -0.75 - 2 = -2.75 or -11/4
- x=-9 → -¹/₈(-9) - 2 = 9/8 - 2 = 1.125 - 2 = -0.875 or -7/8
- x=9 → -¹/₈(9) - 2 = -9/8 - 2 = -1.125 - 2 = -3.125 or -25/8
- x=2 → -¹/₈(2) - 2 = -2/8 - 2 = -0.25 - 2 = -2.25 or -9/4
- x=1 → -¹/₈(1) - 2 = -1/8 - 2 = -0.125 - 2 = -2.125 or -17/8

Let’s write as fractions for precision:

→ -11/4, -7/8, -25/8, -9/4, -17/8

But since decimals are acceptable and simpler here, we can use:

→ -2.75, -0.875, -3.125, -2.25, -2.125

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3) f(x) = 2x

x: 4, -8, -3, -7, -5

- 2×4 = 8
- 2×(-8) = -16
- 2×(-3) = -6
- 2×(-7) = -14
- 2×(-5) = -10

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4) f(x) = x + 3

x: -8, 1, 9, -7, 2

- -8 + 3 = -5
- 1 + 3 = 4
- 9 + 3 = 12
- -7 + 3 = -4
- 2 + 3 = 5

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5) f(x) = 9x - 6

x: -1, -7, 6, 1, 2

- 9(-1)-6 = -9-6 = -15
- 9(-7)-6 = -63-6 = -69
- 9(6)-6 = 54-6 = 48
- 9(1)-6 = 9-6 = 3
- 9(2)-6 = 18-6 = 12

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6) f(x) = 8x

x: -1, -3, 0, 2, -7

- 8(-1) = -8
- 8(-3) = -24
- 8(0) = 0
- 8(2) = 16
- 8(-7) = -56

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7) f(x) = -¹/₉x + 4

x: -4, 3, -3, 8, -1

- x=-4 → -¹/₉(-4) + 4 = 4/9 + 4 = 4/9 + 36/9 = 40/9 ≈ 4.444...
- x=3 → -¹/₉(3) + 4 = -3/9 + 4 = -1/3 + 4 = 11/3 ≈ 3.666...
- x=-3 → -¹/₉(-3) + 4 = 3/9 + 4 = 1/3 + 4 = 13/3 ≈ 4.333...
- x=8 → -¹/₉(8) + 4 = -8/9 + 4 = -8/9 + 36/9 = 28/9 ≈ 3.111...
- x=-1 → -¹/₉(-1) + 4 = 1/9 + 4 = 1/9 + 36/9 = 37/9 ≈ 4.111...

Decimals rounded to three places if needed, but fractions are exact.

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8) f(x) = ¹/₆x + 2

x: 3, 4, 2, -8, -3

- ³/₆ + 2 = 0.5 + 2 = 2.5
- ⁴/ + 2 = 2/3 + 2 ≈ 0.666 + 2 = 2.666...
- ²/₆ + 2 = 1/3 + 2 ≈ 0.333 + 2 = 2.333...
- -⁸/₆ + 2 = -4/3 + 2 = -1.333 + 2 = 0.666...
- -³/₆ + 2 = -0.5 + 2 = 1.5

Or as fractions:

→ 5/2, 8/3, 7/3, 2/3, 3/2

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9) f(x) = x - 9

x: 8, 4, 2, 6, 3

- 8-9 = -1
- 4-9 = -5
- 2-9 = -7
- 6-9 = -3
- 3-9 = -6

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10) f(x) = 3x + 5

x: 5, -6, 0, -8, 1

- 3(5)+5 = 15+5 = 20
- 3(-6)+5 = -18+5 = -13
- 3(0)+5 = 0+5 = 5
- 3(-8)+5 = -24+5 = -19
- 3(1)+5 = 3+5 = 8

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11) f(x) = -2x

x: 6, -8, 3, 4, -4

- -2(6) = -12
- -2(-8) = 16
- -2(3) = -6
- -2(4) = -8
- -2(-4) = 8

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12) f(x) = x - 7

x: 5, 9, -9, -5, -4

- 5-7 = -2
- 9-7 = 2
- -9-7 = -16
- -5-7 = -12
- -4-7 = -11

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Now, compiling all answers clearly for each problem:

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Final Answer:

1) y values: 7, -7, -42, 35, 14
2) y values: -2.75, -0.875, -3.125, -2.25, -2.125
3) y values: 8, -16, -6, -14, -10
4) y values: -5, 4, 12, -4, 5
5) y values: -15, -69, 48, 3, 12
6) y values: -8, -24, 0, 16, -56
7) y values: 40/9, 11/3, 13/3, 28/9, 37/9 (or approx. 4.444, 3.667, 4.333, 3.111, 4.111)
8) y values: 2.5, 8/3, 7/3, 2/3, 1.5 (or approx. 2.5, 2.667, 2.333, 0.667, 1.5)
9) y values: -1, -5, -7, -3, -6
10) y values: 20, -13, 5, -19, 8
11) y values: -12, 16, -6, -8, 8
12) y values: -2, 2, -16, -12, -11