Calc BC warm Up 9/2/14If 3x – 2y = 8, how much larger is x then y when x = 6?A) 0 B) 1 C) 2 D) 5

E) 11

Sample Problem #1GIf 3x – 2y = 8, how much larger is x then y when x = 6?A) 0 B) 1 C) 2 D) 5

E) 11

Sample Problem #2GDevin purchased an HD TV whose

original price was $640.00. He received successive discounts of 15% and then 10%. How much did he pay? (He bought the TV in Delaware - there is no sales tax.)A) $480.00 B) $489.60 C) $518.40 D) $576.00 E) $615.00

Sample Problem #2GDevin purchased an HD TV whose

original price was $640.00. He received successive discounts of 15% and then 10%. How much did he pay? (He bought the TV in Delaware - there is no sales tax.)A) $480.00 B) $489.60 C) $518.40 D) $576.00 E) $615.00

Helpful hint #1:The answer choices in multiple choice

questions are always arranged from least to greatest or greatest to least so if you are trying plug and chug start in the middle. This sometimes eliminates the number of solutions to check!

Difficulty of QuestionsFor the majority of the test, each of the

sections has the questions increase in difficulty.

Therefore, make sure you do not make careless mistakes on the first couple of questions in each section, since these are the easiest!

Sample Problem #3G

ΔTHS shown contains right angle S. If square MATH (not shown) has side length TH, what is the area of MATH? A) 169 B) 144 C) 60 D) 30 E) 25

12 5

T

S

H

Sample Problem #3G

ΔTHS shown contains right angle S. If square MATH (not shown) has side length TH, what is the area of MATH? A) 169 B) 144 C) 60 D) 30 E) 25

12 5

T

S

H

Helpful hint #2:Calculators are allowed on the

test. Be sure you are familiar with the calculator you take to the test and that you bring extra batteries on test day!

Sample Problem #4GIf x2 + 15x + k = 0, where k is an

integer and the equation has integer solutions, then k cannot be which of the following?A) 14 B) 26 C) 36

D) 44 E) 48

Sample Problem #4GIf x2 + 15x + k = 0, where k is an

integer and the equation has integer solutions, then k cannot be which of the following?A) 14 B) 26 C) 36

D) 44 E) 48

Review

Factoring

Algebra

8Find the domain of:

9

7)(

2

x

xxf

Algebra

8Find the domain of:

8Sketch the graph! 9

7)(

2

x

xxf

Algebra

8Find the center and radius of :

010622 yxyx

Algebra

8Find f(x + 3) if

54)( 2 xxxf

Algebra

8Simplify:

2

7

65

542

xxx

x

TrigFind exact value for each without a calculator.1. cos(30°)2. tan(5π/3)3. sin(-270°)

Limit8What does limit mean?

Limit8Book says: If ƒ(x) becomes

arbitrarily close to a unique number L as x approaches c from either side then we say that the limit of ƒ(x), as x approaches c, is L

WHAT????

Let’s look at an example

8ƒ(x) = x3 – 1 x – 1

8Graph

Does your graph look like this?

Does your graph look like this?

• Is this a correct graph? Why or Why Not?

• What is this? Lets zoom in!

• What is this? Lets zoom in!

• Why is there a hole in this graph?

LimitDoes the graph approach the same number from the left and right of the hole?

LimitWhat does limit mean?

LimitThe jelly that files the hole!

•The yellow point is the jelly!

•What is the limit as x approaches 1?

LimitHow else could we find this limit?

Factor!

Limit8We write limits as:lim

x cƒ(x)

LimitWe say:

limx c

ƒ(x) TheLimitAsXApproachesCOfƒ(x)

LimitWe say:

limx c

ƒ(x)

Limit RulesThe limit of a constant is a constant! i.e.:

limx c

5 = 5

Limit RulesThe limit of a variable as it approaches c is c! i.e.:

limx c

x = c

Limit RulesThe limit of a variable to a power as it approaches c is c to that power! i.e.:

limx c

xn = cn

More Limit Rules1. Scalar Multiple2. Sum or Difference

3. Product4. Quotient5. Power

Dead Give Aways1. Zero Denominator

2. Negative Even Roots

3. Absolute Values

4. Compound Function