Topic 6 Review

Properties of Exponents

100

Simplify (4x²) • (3x⁵)

12x⁷

200

Simplify (5x⁷)²

25x¹⁴

300

When dividing monomials what operation do you use to simplify the exponents?  

Subtract

400

What do you do when you have a negative exponent?

Turn it into a fraction with the negative on the bottom

Radical Expressions

100

What is the square root of 81?

9

200

What is the cubed root of 729?

9

300

FREEBIE: Who is the Super Bowl halftime performer this year?

Bad Bunny

400

T or F

When you are simplifying square roots with variables, if the exponent is a multiple of two, you divide it by three.

False. Divide it by two

Exponential Functions

100

y = a(b)^x

What does b represent?

Constant ratio

200

y = a(b)^x

What does a represent?

The initial value / y-intercept

300

What is the domain?
y = 2^x

All real #’s

400

What is the range?

y = 2^x

y > 0

Exponential Growth & Decay

100

Write an equation

initial value: 2500

growth rate: 5%

y = 2500 (1 + 0.05)^x

200

Write an equation

initial value: 4000

decay rate: 2.5%

y = 4000 (1 - 0.025)^x

300

Write an equation and calculate

principal: $2,000

interest rate: 4%

compounded quarterly

time: 3 years

$2,253.65

400

How long is each representing?

1. Compounded quarterly

2. Compounded annually

3. Compounded monthly

1. 4 times

2. 1 time a year

3. 12 times

Translations of Functions

100

The parent function is f(x) = 3x. What is the translation?
g(x) = 3x + 4

Four units up

200

The parent function is f(x) = 3^x. What is the translation?
j(x) = 3^x+6

Horizontal translation 6 units left.

300

The parent function is f(x) = 4^x. Describe the translation.

h(x) = 4^x+4 -3

Horizontal shift 4 units left and 3 units down.

400

The asymptote of an exponential function is transformed by what type of translation?

Vertical