Concept Category 1: Quantities

Name______Defense Packet for (CC 2)

Period______

·  You MUST turn in ALL OF THE PACKET (including the Final Exam – CC2) by Wednesday, January 6 in order to be eligible to take the Defense on January 7/8. No packet = No Defense

·  Find ALL of your errors on your Final Exam – CC2, then correct them IN RED PEN on the Final Exam.

·  On a sheet of binder paper, write each problem that you missed from the Final Exam – CC2. Rework the problem (yes, again!) on the binder paper, showing all steps. Write a sentence or two to explain the error(s) you made on the Final Exam – CC2.

·  On a separate sheet of binder paper, answer ALL of the problems listed below, showing all of your steps. Check your answers (posted in the classroom). IN RED PEN write “CORRECT!” next to each problem you got correct. If you missed the problem, put an “X” through your work (don’t erase!) and then RE-WORK the problem AGAIN! Make a note to yourself IN RED PEN as to the mistake you made. Once you get the problem correct, write “CORRECT!” IN RED PEN next to the problem.

Additional REQUIRED PROBLEMS:

Interpreting functions:

1. A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease. The thickness of the ice (in inches) is a function of time (in weeks)

Give the meaning of:

a) f(8) > f(10) b) f(12) = 14 c) f(20) < f(14)

2. Sarah fills an ice cube tray with water and places it in the freezer. The temperature of the water (degrees Fahrenheit) is a function of the time (in minutes) in the freezer.

Give the meaning of:

a) f(0) = 82 b) f(20) < f(10) c) f(25) = 35

d) f(60) = f(70)

3. Jaden is riding his bicycle to the beach. His distance (in miles) from this beach is a function of time (in minutes).

Give the meaning of:

a) f(15) = 3 b) f(0) = 18 c) f(12) > f(14)

d) f(22) = 0

Evaluate functions:

f(x) = 4| 3 – 2x | g(x) = – | 5x + 7 | h(x) = – 3x2 + 2x

j(x) = 2x + 3x k(x) = 6- 8x m(x) = – 2| x – 12|

1. find f( – 3) 2. find g(7)

3. find h( – 4) 4. find h(5)

5. find j(4) 6. find k(2)

7. find k(– 4) 8. find m(7)

9. find f[g(2)] 10. find g[f(2)]

11. find f[m(9)] 12. find m[g(16)]

13. sum of f(5) and g(– 4) 14. sum of h(4) and m(10)

Domain and Range:

State the domain and range of each of the following graphs: