1. AB Calculus Step-by-Step
Consider the functions f ( x ) =
Name _
ax 2 ! b
x 2 ! cx + d
.
and
g
x
=
( )
x2 ! 4
x2 ! 4
a. If lim f ( x ) = 6 , find a relationship between a and b.
x!3
b. If, in addition, lim f ( x ) = 1, find the values of a and b.
x!1
c
Unit Four
AP Calculus Practice Test
Derivatives & Graphing
Name_Period_Date_
NON-CALCULATOR Section
Vocabulary: Directions Define each word and give an example.
1.
Critical Point
2.
Relative Maximum
Short Answer
3.
Describe how to determine the absolute m
Example 3: Student work
Mathematical Exploration: Minesweeper
Used with permission from Microsoft
Minesweeper, the common household computer game installed in many
Microsoft PCs today. The game itself is on-par with Sudoku for being one of the worlds
most
Breaking the Code Exploration Project
Scores:
Criterion
A
B
C
D
E
Total
Achievement level awarded
2
3
3
1
6
15
Maximum possible achievement level
4
3
4
3
6
20
Comments:
Criterion A: Communication
A2The work is coherent but not well organized. There is no
Example 1: Student work
Breaking the Code
To keep your secret is wisdom; but to expect others to keep it is folly.
Samuel Johnson
Secrets are made to be found out with time
Charles Sanford
Codes have been used by the military to keep secrets from the enem
Minesweeper Exploration Project
Scores:
Criterion
A
B
C
D
E
Total
Achievement level awarded
2
1
1
1
0
5
Maximum possible achievement level
4
3
4
3
6
20
Comments:
Criterion A: Communication
A2There is an introduction, but no aim or rationale, although the