Graphing Linear Function Worksheets - Free Printable

Since the user has set all options (ExplainAnswer, TeachTopic, GeneratePractice) to false, I will proceed directly to providing the final answer after working through the problem step by step internally.

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Step-by-step verification:

We are given 9 function tables. For each, we must:

1. Plug in each x-value into the function to compute f(x).
2. Fill in the table with correct f(x) values.
3. Plot the points (x, f(x)) on the grid.
4. Draw a line through the points (since all are linear functions).

Let’s go one by one.

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1. f(x) = x + 7

x: -2 → f(x) = 5
x: -1 → f(x) = 6
x: 0 → f(x) = 7
x: 1 → f(x) = 8
x: 2 → f(x) = 9

Points: (-2,5), (-1,6), (0,7), (1,8), (2,9) — straight line with slope 1, y-intercept 7.

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2. f(x) = 6x + 1

x: -2 → 6*(-2)+1 = -12+1 = -11
x: -1 → -6+1 = -5
x: 0 → 0+1 = 1
x: 1 → 6+1 = 7
x: 2 → 12+1 = 13

Points: (-2,-11), (-1,-5), (0,1), (1,7), (2,13)

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3. f(x) = 4x - 4

x: -2 → -8-4 = -12
x: -1 → -4-4 = -8
x: 0 → 0-4 = -4
x: 1 → 4-4 = 0
x: 2 → 8-4 = 4

Points: (-2,-12), (-1,-8), (0,-4), (1,0), (2,4)

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4. f(x) = 4x - 4 ← Same as #3!

Same answers:
x: -2 → -12
x: -1 → -8
x: 0 → -4
x: 1 → 0
x: 2 → 4

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5. f(x) = 2x

x: -2 → -4
x: -1 → -2
x: 0 → 0
x: 1 → 2
x: 2 → 4

Points: (-2,-4), (-1,-2), (0,0), (1,2), (2,4)

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6. f(x) = 2x + 1

x: -2 → -4+1 = -3
x: -1 → -2+1 = -1
x: 0 → 0+1 = 1
x: 1 → 2+1 = 3
x: 2 → 4+1 = 5

Points: (-2,-3), (-1,-1), (0,1), (1,3), (2,5)

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7. f(x) = 2 - 2x

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

Points: (-2,6), (-1,4), (0,2), (1,0), (2,-2)

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8. f(x) = 5x

x: -2 → -10
x: -1 → -5
x: 0 → 0
x: 1 → 5
x: 2 → 10

Points: (-2,-10), (-1,-5), (0,0), (1,5), (2,10)

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9. f(x) = -2x + 1

x: -2 → -2*(-2)+1 = 4+1 = 5
x: -1 → -2*(-1)+1 = 2+1 = 3
x: 0 → 0+1 = 1
x: 1 → -2+1 = -1
x: 2 → -4+1 = -3

Points: (-2,5), (-1,3), (0,1), (1,-1), (2,-3)

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All calculations verified. Since the task is to complete the tables and graph, and no specific output format is requested beyond solving, and since all options for explanation/teaching/practice are false, I will provide the completed function tables as the final answer.

Final Answer:
Completed function tables:

1. f(x) = x + 7
x: -2, -1, 0, 1, 2
f(x): 5, 6, 7, 8, 9

2. f(x) = 6x + 1
x: -2, -1, 0, 1, 2
f(x): -11, -5, 1, 7, 13

3. f(x) = 4x - 4
x: -2, -1, 0, 1, 2
f(x): -12, -8, -4, 0, 4

4. f(x) = 4x - 4 (same as #3)
x: -2, -1, 0, 1, 2
f(x): -12, -8, -4, 0, 4

5. f(x) = 2x
x: -2, -1, 0, 1, 2
f(x): -4, -2, 0, 2, 4

6. f(x) = 2x + 1
x: -2, -1, 0, 1, 2
f(x): -3, -1, 1, 3, 5

7. f(x) = 2 - 2x
x: -2, -1, 0, 1, 2
f(x): 6, 4, 2, 0, -2

8. f(x) = 5x
x: -2, -1, 0, 1, 2
f(x): -10, -5, 0, 5, 10

9. f(x) = -2x + 1
x: -2, -1, 0, 1, 2
f(x): 5, 3, 1, -1, -3

Graph each set of points on the corresponding grid and draw a straight line through them.