1. How do we translate between the various representations of functions?
Multiple Representations of Functions
Essential Questions
How do we translate between the various representations of functions?
How do we solve problems by using the various representations of functions?
Holt McDougal Algebra 2
Holt Algebra 2

2. An amusement park manager estimates daily profits by multiplying the number of tickets sold by 20. This verbal description is useful, but other representations of the function may be more useful.
These different representations can help the manager set, compare, and predict prices.

3. Sketch a possible graph to represent the following.
Business Application
Sketch a possible graph to represent the following.
Ticket sales were good until a massive power outage happened on Saturday that was not repaired until late Sunday.
The graph will show decreased sales until Sunday.

4. Sketch a possible graph to represent the following.
Business Application
Sketch a possible graph to represent the following.
The weather was beautiful on Friday and Saturday, but it rained all day on Sunday and Monday.
The graph will show decreased sales on Sunday and Monday.

5. Only ½ of the rides were running on Friday and Sunday.
Business Application
Sketch a possible graph to represent the following.
Only ½ of the rides were running on Friday and Sunday.
The graph will show decreased sales on Friday and Sunday.

6. Use Stat – Calc – 4 – LinReg
Example 4
Approximate the best-fitting line
The table below gives the number of people y who attended each of the first seven football games x of the season. Approximate the best-fitting line for the data.
900 x 1 2 3 4 5 6 7 y
722
763
772
826
815
857
897
850
800
750
700
Use Stat – Calc – 4 – LinReg
650
Type equation into y =, and graph.

7. Use Stat – Calc – 4 – LinReg
Example 5
Approximate the best-fitting line
The table gives the average class score y on each chapter test for the first six chapters x of the textbook. x 1 2 3 4 5 6 y 84 83 86 88 87 90 92 90 88 86 84
Use Stat – Calc – 4 – LinReg 82
Type equation into y =, and graph.

8. Use Stat – Calc – 5 – QuadReg
Example 6
Approximate the best-fitting quadratic
The table shows the height of a baseball that is hit, with x representing the time and y representing the baseball’s height. x 2 4 6 8 y 3 28 40 37 26 35 30 25 20 15
Use Stat – Calc – 5 – QuadReg 10
Type equation into y =, and graph.

9. Use Stat – Calc – 5 – QuadReg
Example 7
Approximate the best-fitting quadratic
Use a graphing calculator to find the best-fitting model for the data in the table. x 2 4 6 8 y 23 30 25 7 30 25 20 15 10
Use Stat – Calc – 5 – QuadReg 5
Type equation into y =, and graph.

10. Lesson 12.1 Practice A