Chapter 6 Review

Exponential Functions

100

Write the general form of an exponential function.

y=ab^x

200

Simplify: 3²*3⁵

3⁷

300

When is it Exp. Growth

b>1

400

Write an exponential model for 6% annual growth.

y=a(1.06)^t

500

A city’s population is 500,000 and grows by 4% each year. Estimate population after 6 years.

500,000(1.04)⁶≈633,000

Logarithms

100

Evaluate log⁡₁₀1000

3

200

Use the change-of-base formula to rewrite log⁡₃5

Log5/Log3

300

Simplify using properties: log⁡(2x/y)

log2+logx-logy

400

Write the inverse of y=2^x

y=log₂x

500

Solve for x: log⁡₂(x−1)=3

9

Compound Interest

100

The principal of a invested balance

The starting amount

200

What is the formula for continuous compounding?

A=Pe^rt

300

Write the compound interest formula.

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

400

You invest $2000 at 5% compounded quarterly for 10 years. What is the amount?

$3,286.04

500

If $1000 grows to $1349 in 3 years, compounded continuously, find r.

.1

Inverse and Solving

100

First step of finding the inverse

Swapping the X and Y

200

7^x+2=49^2x+3

x=-4/3

300

Solve log₂(x−2)=log₂(6x−3)

x=1/5

400

3^x=2

.631

500

Inverse of Ln(2x-3)=y

(e^x+3)/2

Misc.

100

If math could talk, what would it complain about?

Too many problems!

200

How many tries do players get to guess the Wordle word each day?

6

300

Just gonna stand there and watch me burn, but that’s alright because I like the way it ___.

Hurts – Eminem ft. Rihanna

400

What is the only food that never spoils?

Honey

500

What was the first ever YouTube video called, uploaded by one of the site’s founders in 2005?

Me at the zoo