AP PC Unit 2A

Sequences

100

This sequence is ..... with a common ...... of .....

{5, 13, 21, 29,...}

What is linear with a common difference of +8?

200

This sequence has the explicit equation using k=0 

{15, -2, -19, -36, ...}  an=  

What is 

 a_n=32-17n ?

300

The sequence has the equation using k=0

{8, 24, 72, 216, ...} g_n=?

What is  g_n=8/3(3)^n ?

400

Write the equation for the sequence using k=3.

{1/5,6/5, 36/5,216/5}

What is  g_n=36/5(6)^n-3 ?

500

Find the 20th term for the following sequence. If needed as a fraction.

 {54, 18, 6, 2, ....} 

What is 

Exponential Functions and Transformations

100

State the concavity, increasing/decreasing, and whether the function is growth or decay.

f(x)=7(1/3)^x

What is Decay, Decreasing, and Concave Up?

200

State the concavity, increasing/decreasing, and whether the function is growth or decay.

f(x)=-23(8)^x

What is Growth, Decreasing, and Concave Down?

300

State the concavity, increasing/decreasing, and whether the function is growth or decay.

f(x)=-13(7/8)^x

What is Decay, Increasing, Concave Down?

400

State the concavity, increasing/decreasing, and whether the function is growth or decay.

f(x)=-3(5/4)^x

What is Growth, Decreasing, Concave Down, and

lim_(xrarr-oo)f(x)=0

lim_(xrarroo)f(x)=-oo

500

State the concavity, increasing/decreasing, and whether the function is growth or decay.

f(x)=-3(11/15)^x

What is Decay, Increasing, Concave Down, and

lim_(xrarr-oo)f(x)=-oo

lim_(xrarroo)f(x)=0

Composition

100

Find  f@g(2) 

f@g(2)=70

200

Find 

g@f(-3)

g@f(-3)=-0.5

300

Find 

g(f(x))

What is 

g(f(x))=1/2x^2+3x+4

400

In standard form, find  f(g(x)) 

What is 

f(g(x))=1/4x^2+8x+53

500

If  h(x)=f(g(x)) Find equations for  f(x) and  g(x) such that 

h(x)=log(x^2-3)

g(x)=x^2-3)

f(x)=log(x)

Inverses

100

Find the inverse of  f(x)=3x+5

What is 

f^(-1)(x)=(x-5)/3

200

Find the inverse of  f(x)=(x-3)^3+5 

What is 

f^(-1)(x)=root(3)(x-5)+3

300

Find inverse and domain restriction for  f(x)=sqrt(x+3)-2 

What is Domain: 

[-2,oo)

f^(-1)(x)=(x+2)^2-3

400

Find the inverse and state the domain restriction for  f(x)=6/(x-5) 

What is Domain: 

(-oo,0)uu(0,oo) 

f^(-1)(x)=6/x+5

500

Find the inverse and domain restriction for  f(x)=-sqrt(8-x)+7 

What is Domain: 

(-oo,7]

f^(-1)(x)=-(x-7)^2+8

Random

100

This is the first pixar movie. 

What is Toy Story?

200

This is the rarest m&m color. 

What is Brown?

300

Name at least two animals that have tried to or succeeded to run for mayor.

What is a donkey, dog, cat, goat, or chimpanzee?

400

This is the most common first language in the world. 

What is Mandarin Chinese?

500

This is the lightest planet in our solar system. 

What is Saturn? 

(It is so light it would float on water.)