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

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

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

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

Draw a function table with 4 columns and 5 rows 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 Output (x, y) x 3x y (x, y) Label columns The input is x The rule is with the input The output is y Ordered pairs are (x, y) 1/2 Example 6-1a

Put input that is given into table 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) x 3x y (x, y) The rule is 3x so replace x with the input -1 3(-1) -3 (-1, -3) 3(0) (0, 0) Multiply 3  input in each row to get output 1 3(1) 3 (1, 3) Make the ordered pairs from the input and output 1/2 Example 6-1a

Complete the function table for the rule of x + 2 using the input of 1, 2, and 3 Output (x, y) x x + 2 y   Function Table Input Rule Output (x, y) x x + 2 y 1 1 + 2 3 (1, 3) 2 2 + 2 4 (2, 4) 3 + 2 5 (3, 5) Answer: 1/2 Example 6-1c

Find the rule and complete function table. Find the pattern between x to y The output is three less than the input. Function Table Input Rule Output (x, y) x y 10   7 8 5 2 x- 3 The function rule is x – 3. Insert rule then complete the table 2/2 Example 6-2a

Find the rule and complete function table. Answer: Function Table Input Rule Output (x, y) x x - 3 y 10 10 - 3 7 (10, 7) 8 8 - 3 5 (8, 5) 5 - 3 2 (5, 2) Function Table Input Rule Output (x, y) x ? y 10   7 8 5 2 2/2 Example 6-2a

Find the rule and complete the function table. Answer: Function Table Input Rule Output (x, y) x x - 7 y 11 11 - 7 4 (11, 4) 10 10 - 7 3 (10, 3) 9 9 - 7 2 (9, 2) Function Table Input Rule Output (x, y) x   y 11 4 10 3 9 2 2/2 Example 6-2b

Assignment Lesson 9:6 Functions 9 - 20 All End of Lesson 6

First, determine the function rule. 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. The function rule is Then, replace d in the rule with the number of workdays after Nina’s first day, 7. 3/3 Example 6-3a

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

* 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 Example 6-3c