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Input-Output Function Tables

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Input-Output Function Tables

A robotics team is testing input-output rules for a game. Use each rule to find outputs, work backward to find inputs, and decide whether a table represents a function. Show calculations where helpful.

Run the rules

Evaluate each rule carefully. Remember that x is the input and y is the output.

1.The robot's score rule is y = 3x + 2. Complete the outputs for inputs 0, 2, and 5. Give the ordered pairs (x, y).

2.A sensor uses the rule y = 4x - 7. Find y when x = 3, then find x when y = 9.

3.A mystery rule sends 1 to 6, 3 to 12, and 6 to 21. The rule has the form y = ax + b. Find a and b, then write the rule.

Check the machine

A function gives exactly one output for each input. Different inputs may share an output, but one input cannot have two different outputs.

4.Table A lists the input-output pairs (2, 5), (4, 9), and (2, 5). Does it represent a function? Explain why the repeated pair matters.

5.Table B lists the pairs (1, 4), (3, 8), and (1, 7). Is it a function? Identify the input that determines your answer.

Yes; every listed pair is allowed.
Yes; the outputs are all different.
No; input 1 is paired with two different outputs.
No; inputs must increase by the same amount.

6.A table for the rule y = 2x - 1 is missing two entries: (3, __) and (__, 13). Find both missing values.

7.A game awards 5 points for each level completed, plus a 4-point starting bonus. Let x be completed levels and y be total points. Write a rule and find the score after 6 levels.

8.A robot's rule is y = -2x + 10. Calculate the outputs for x = -1, 0, and 4. What pattern do you notice as the input increases by 1?

9.Two machines receive the same input x. Machine A outputs x + 6; Machine B outputs 2x. For which input do they give the same output? Find that shared output.

10.Create a different linear rule of the form y = ax + b, where a is a nonzero integer. Choose x = 0, 1, and 2, calculate the three outputs, and explain how you can check your table.

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10th Grade

Input-Output Function Tables

Input-Output Function Tables

Run the rules

Check the machine

2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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