Algebra 2 Semester 2 Review

Logs/Exponentials

100

Growth or decay?   f(x)=1.5 (3.8)^x

Growth

200

Describe the transformation compared to the parent function f(x)-5(3)^x

  f(x)=5(3)^x-2+4

Up 4 

Right 2

300

log₂12 = 

3.6

400

Write log_ax=2 in exponential form

a²=x

500

solve for x: log₂x+log₂7=3

8/7 or 1.14

Logs/Exponentials 2

100

State the compound interest formula

A=P(1+r/n)^(nt

200

State the continuous compound interest formula

A=Pe^(rt)

300

John put $1000 in a savings account 12 years ago.  The $1000 has been increasing in value by 3% each year.  Use y = a(1+r)^t to find the current value of John's savings account.

$1425.76

400

Write this equation in log form

2^x=7

log₂ 7 = x

500

What has to be broken before you can use it?

An egg

Rational Functions

100

(x-6)/3 = (-2x - 2)/15

x = 4

200

(x-5)/(7x^2)+4/x-6/(3x)

(-5+15x)/(7x^2)

300

Find the vertical asymptote and horizontal asymptote of 

(x^2+2x-48)/(x+8)

VA x=-8 and HA none

400

I am an odd number.  Take away a letter and I am even.  What number am I?

seven

500

(x²-4)/(x²+2x-15) ÷ (x²-2x)/(x³-3x²)

(x(x+2))/(x+5)

Operations w/functions

100

f(x)=2x-1 and g(x)=3x+2

find f(x)+g(x)

f(x)+g(x)= 5x+1

200

f(x)=2x-1 and g(x)=3x+2

find f(x)-g(x)

f(x)-g(x)=-x-3

300

f(x)=2x-1 and g(x)=3x+2

find f(x)*g(x)

f(x)*g(x)=6x²+x-2

400

f(x)=2x-1 and g(x)=3x+2

find f(g(x))

f(g(x))= 6x+3

500

f(x)=2x-1 and g(x)=3x+2

find g(f(x))

g(f(x))= 6x-1

Other topics

100

What is the common ratio of the geometric sequence 3, 6, 12, 24, ...?

2

200

What is the sum of the first 10 terms in the geometric sequence 2 + 6 + 18 + ...?

29,524

300

What has hands but doesn't clap?

A clock

400

Find the inverse function of f(x)=2x-1

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

500

What begins with T, finishes with T, and has T in it?

A teapot