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Understanding Input/Output Tables in Functions

Learn to use input/output tables with functions to find rules and values. Practice identifying functions and applying rules to solve problems efficiently.

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Understanding Input/Output Tables in Functions

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  1. Input/Output Tables Please cooperate and take turns with writing on the Smartboard. Go onto the next slide when your group is ready!

  2. Input/Output tables have a function. You can write the function using a variable.

  3. Instructions: Look at the input value and determine what rule applies to get the output value:

  4. Rule : add 5, n+5

  5. What is the rule for this input/output table?

  6. RULE: multiply by 3,3 x n or n x 3Good job. Keep going.

  7. What is the rule for this input/output table?

  8. Rule: multiply by 10, 10 x n or n x 10

  9. What is the rule for this input output table?

  10. Rule: subtract 2 or n - 2

  11. What is the rule for this input output table?

  12. Rule: Subtract 8, or n - 8

  13. What is the rule for this input output table?

  14. Rule: multiply by 10; 10 x n or n x 10

  15. Solution: • You can see that you obtain each output • by adding 5 to the input. • Answer: The function rule given by the table is b = a + 5

  16. How can a function table help you find the input or the output? • When data is organized, we can use the function rule and the input to find the output or work backward using the output and the function rule to find the input.

  17. VOCABULARY • The set of all input values is called the domain of a function. The set of all output values is called the range of a function.

  18. What did you learn?

  19. Ticket Out the Door • Isaiah is buying jelly beans. In bulk, they cost $3 per pound, and a candy dish costs $2. The function rule, t = 3x + 2 where x is the number of pounds, can be used to find the total cost (t) of x pounds of jelly beans and 1 dish. • Make a table that shows the total cost of buying 2, 3, or 4 pounds of jelly beans and 1 dish. • Graph the function. Use your checklist to be sure you have included all of the elements of a graph. • Check to see that your name is on your paper!

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