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Transparency 6

2. Splash Screen

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

4. 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

5. 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

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

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

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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

14. Assignment
Lesson 9:6
Functions
All
End of Lesson 6

15. 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

16. 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

17. *
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