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Function Tables and Rules: Complete, Find, and Apply

Learn how to complete function tables, find function rules, and apply them to solve problems. Practice with examples and assignments.

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Function Tables and Rules: Complete, Find, and Apply

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  1. Transparency 6 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 6-3c Objective Complete function tables and find function rules

  4. Example 6-3c Vocabulary Function A relation in which each element of the input is paired with exactly one element of the output according to a specific rule

  5. Example 6-3c Vocabulary Function Table A table organizing the input, rule, and output of a function

  6. Example 6-3c Vocabulary Function Rule An expression that describes the relationship between each input and output

  7. Lesson 6 Contents Example 1Complete a Function Table Example 2Find a the Rule for a Function Table

  8. Example 6-1a Complete the function table for the rule of 3x using the input of -1, 0, and 1 Draw a function table with 4 columns and 5 rows Input Rule (x, y) Output y x (x, y) 3x Label columns The input is x The rule is with the input The output is y Ordered pairs are (x, y) 1/2

  9. Example 6-1a Complete the function table for the rule of 3x using the input of -1, 0, and 1 Answer: Put input that is given into table Input Rule Output (x, y) y x (x, y) 3x The rule is 3x so replace x with the input (-1, -3) -1 3(-1) -3 0 3(0) 0 (0, 0) Multiply 3  input in each row to get output 1 3 3(1) (1, 3) Make the ordered pairs from the input and output 1/2

  10. Example 6-1c Complete the function table for the rule of x + 2 using the input of 1, 2, and 3 Answer: 1/2

  11. Example 6-2a Find the rule and complete function table. Find the pattern between x to y The output is three less than the input. x- 3 The function rule is x – 3. Insert rule then complete the table 2/2

  12. Example 6-2a Find the rule and complete function table. Answer: 2/2

  13. Example 6-2b Find the rule and complete the function table. Answer: 2/2

  14. End of Lesson 6 Assignment

  15. The function rule is Then, replace d in the rule with the number of workdays after Nina’s first day, 7. Example 6-3a COFFEE Nina buys a refillable mug for $4.50 on her first day at a new job. Starting with her second day, she gets a refill of coffee costing $2.00 every day on the way to work. How much does she spend on coffee in her first 8 workdays? First, determine the function rule. 3/3

  16. Example 6-3b Replace d with 7. Multiply Add Answer: Nina spends $18.50 on coffee in her first 8 workdays. 3/3

  17. Example 6-3c * MOVIE RENTAL A video store offers a deal where the first movie rented costs $5.25 and each movie rented after the first costs $2.50. Find the total cost to rent 6 movies. Answer: $17.75 3/3

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