1 / 18

Functional Relationships

Functional Relationships. Objective 1. Example 1. Troy borrowed money from his father so that he could buy a used car. The table shows the remaining balance, b , of Troy’s loan after each payment. Calculator Steps. SOLUTION:

karan
Download Presentation

Functional Relationships

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Functional Relationships Objective 1

  2. Example 1 • Troy borrowed money from his father so that he could buy a used car. The table shows the remaining balance, b, of Troy’s loan after each payment.

  3. Calculator Steps • SOLUTION: • To complete this problem on the calculator, you need to press the STAT button.

  4. Calculator Steps (cont.) • Then press ENTER on EDIT. • You should have the following screen. • If numbers appear below L1, L2, or L3, delete them by pressing the DEL key.

  5. Calculator Steps (cont.) • Under L1, type the number of payments.

  6. Calculator Steps (cont.) • Under L2, type in the loan balance.

  7. Calculator Steps (cont.) • Now press STAT again. With the right arrow key, move to CALC.

  8. Calculator Steps (cont.) • When the following screen appears, press ENTER.

  9. Calculator Steps (cont.) • Go down to 4 and press ENTER.

  10. Calculator Steps (cont.) • The following is your answer. • After substitution, y = -225x + 4135 • y is the loan balance, b. And x is the number of payments, p. So the answer should be • b = -225p + 4135

  11. y x y x -1 0 3 3 1 19 -1 0 3 y x -1 0 3 y x 1 3 19 Example 2 • Which mapping best represents the function y = 2x2 + 1 when the replacement set for x is {-1, 0, 3}? 1 5 37 1 3 19 -1 0 3

  12. Calculator Steps • First press Y= on the calculator.

  13. Calculator Steps (cont.) • Under Y1= , type in the equation.

  14. Calculator Steps (cont.) • Type 2ND TABLE so that the table of values for the function appears.

  15. Calculator Steps (cont.) • Look for the values that the question is asking for. The question is asking for -1, 0, and 3. What y values do these x values relate to? • -1 ---

  16. Calculator Steps (cont.) • 0 ---

  17. Calculator Steps (cont.) • 3 ---

  18. y x -1 0 3 Calculator Steps (cont.) • Now check to see that -1, 0, and 3 point to the correct y values in the mapping. 1 3 19

More Related