Graphing Linear Function Worksheets - Free Printable

Let’s solve each function table step by step. We’ll plug in the x-values into each function to find f(x), then list the ordered pairs (x, f(x)) for graphing.

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1. f(x) = 3x

- x = -2 → f(-2) = 3*(-2) = -6
- x = 0 → f(0) = 3*0 = 0
- x = 2 → f(2) = 3*2 = 6

Ordered pairs: (-2, -6), (0, 0), (2, 6)

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2. f(x) = x + 5

- x = -3 → f(-3) = -3 + 5 = 2
- x = 0 → f(0) = 0 + 5 = 5
- x = 3 → f(3) = 3 + 5 = 8

Ordered pairs: (-3, 2), (0, 5), (3, 8)

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3. f(x) = 4 - 2x

- x = -1 → f(-1) = 4 - 2*(-1) = 4 + 2 = 6
- x = 0 → f(0) = 4 - 0 = 4
- x = 2 → f(2) = 4 - 4 = 0

Ordered pairs: (-1, 6), (0, 4), (2, 0)

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4. f(x) = -x + 1

- x = -2 → f(-2) = -(-2) + 1 = 2 + 1 = 3
- x = 0 → f(0) = 0 + 1 = 1
- x = 2 → f(2) = -2 + 1 = -1

Ordered pairs: (-2, 3), (0, 1), (2, -1)

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5. f(x) = -x - 2

- x = -3 → f(-3) = -(-3) - 2 = 3 - 2 = 1
- x = 0 → f(0) = 0 - 2 = -2
- x = 3 → f(3) = -3 - 2 = -5

Ordered pairs: (-3, 1), (0, -2), (3, -5)

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6. f(x) = -2x + 5

- x = -1 → f(-1) = -2*(-1) + 5 = 2 + 5 = 7
- x = 0 → f(0) = 0 + 5 = 5
- x = 2 → f(2) = -4 + 5 = 1

Ordered pairs: (-1, 7), (0, 5), (2, 1)

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7. f(x) = -4 - 2x

- x = -2 → f(-2) = -4 - 2*(-2) = -4 + 4 = 0
- x = 0 → f(0) = -4 - 0 = -4
- x = 2 → f(2) = -4 - 4 = -8

Ordered pairs: (-2, 0), (0, -4), (2, -8)

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8. f(x) = 5x

- x = -2 → f(-2) = 5*(-2) = -10
- x = 0 → f(0) = 0
- x = 2 → f(2) = 5*2 = 10

Ordered pairs: (-2, -10), (0, 0), (2, 10)

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9. f(x) = -x - 6

- x = -2 → f(-2) = -(-2) - 6 = 2 - 6 = -4
- x = 0 → f(0) = 0 - 6 = -6
- x = 4 → f(4) = -4 - 6 = -10

Ordered pairs: (-2, -4), (0, -6), (4, -10)

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Final Answer:

1. f(x)=3x → Table: [-6, 0, 6] → Points: (-2,-6), (0,0), (2,6)
2. f(x)=x+5 → Table: [2, 5, 8] → Points: (-3,2), (0,5), (3,8)
3. f(x)=4-2x → Table: [6, 4, 0] → Points: (-1,6), (0,4), (2,0)
4. f(x)=-x+1 → Table: [3, 1, -1] → Points: (-2,3), (0,1), (2,-1)
5. f(x)=-x-2 → Table: [1, -2, -5] → Points: (-3,1), (0,-2), (3,-5)
6. f(x)=-2x+5 → Table: [7, 5, 1] → Points: (-1,7), (0,5), (2,1)
7. f(x)=-4-2x → Table: [0, -4, -8] → Points: (-2,0), (0,-4), (2,-8)
8. f(x)=5x → Table: [-10, 0, 10] → Points: (-2,-10), (0,0), (2,10)
9. f(x)=-x-6 → Table: [-4, -6, -10] → Points: (-2,-4), (0,-6), (4,-10)