Test 3 Review

Composition and Inverse

100

Let f(x)= 2x+1 and g(x)=x²-7x+6

Find f o g (4)

What is -11

200

Find f o g and g o f 

f(x)= 1/(x-1) and g(x)= 2/x

f o g = x/(2-x)

g o f =2x-2

300

Determine whether the functions is 1-1

f(x)=x⁴-x²

Not 1-1 since f(x) is factorable

400

Find the inverse 

f(x)=(x+3)/(x-4)

f^-1= (4x+3)/(x-1)

500

Which company's slogan is "You're in good hands?"

Allstate

Exponential Functions

100

Give the points for the graph of f(x)= (1/2)^x

points: (-1,2) (0,1) (1,1/2)

200

If $600 is invested at an interest rate of 2.5% per year, find the amount of the investment at the end of 10 years, compounded quarterly. 

$769.82

300

Who invented exponential functions?

Leonhard Euler

400

What is a real life example of an exponential function?

Compound Interest

Population increase/decrease

Radioactive decay

500

Originally, Amazon only sold what kind of product?

Books

Logarithmic Functions

100

Write the equation in logarithmic form.

e^x=8

x=log_ex or x= ln x

200

Find the value of the log.

log₄ (1/16)

What is -2

300

Give the points on the graph of y=log₄x

Also give the domain and vertical asymptote equation

points(1/4, -1) (1,0) (4,1)

Domain: (0,infinty)

VA: x=0

400

Who invented logarithmic functions?

John Napier 

500

Who was the first woman pilot to fly solo across the Atlantic?

Amelia Earhart

Solving exponential equations

100

Solve.

16^x+1=8^2x+1

x=1/2

200

Solve.

4e^x+1=5

x=ln(5/4)-1

300

What is Rihanna's real name?

Robin Fenty

400

What day is known as Star Wars Day?

May 4th

500

What is the last name of the business tycoon behind the "No. 5" perfume?

Chanel

Solving logarithmic equations

100

Solve. 

log₃(1-x)=2

x=-8

200

Solve.

log(2x)-log(x-3)=1

x=15/4

300

Solve.

ln(x+7)+ln(x-3)=2 lnx

x=21/4

400

Who played Barbie in the 2024 live-action film?

Margot Robbie

500

Who provided the voice of Groot in the Guardians of the Galaxy movies?

Vin Diesel