Chapters 1-6 Review

Functions

100

Is the following a function: {(1,2),(2,3),(3,4),(2,5)} 

No

200

Given f(x)=2x+3, find f(4)

11

300

Write an example of a scatterplot

See Board

400

Using an equation, write an example of a nonlinear function.

See board. 

500

A gym charges a $25 sign-up fee plus $10 per visit.

• Write a function C(x) to represent the total cost after x visits.

• How much will it cost after 8 visits?

Function: C(x)=10x+25

C(8)=105  

Exponent Rules

100

x³⋅x⁴⋅x

x⁸

200

(2xy²)⁵

2⁵x⁵y¹⁰

300

2a³/6a⁷

1/3a⁴

400

(9x³y²)/(3xy⁵)

3x²/y³

500

(5⁰x²y^-38x)²

64x⁶/y⁶

Growth Vs Decay

100

A population increases by 5% each year. Is this growth or decay?

Growth

200

Is the function y=200(0.8)^x

Decay

300

A quantity grows by 12% each year. What is the growth factor?

Growth factor = 1+0.12=1.12

400

An investment starts at $500 and grows by 10% each year.
How much will it be worth after 3 years?

$665.50

500

A car is worth $20,000 and loses 15% of its value each year.
What is its value after 4 years?

$10,440

Sequences

100

An arithmetic sequence has a common difference. What do we call the changing factor in a geometric sequence?

Common Ratio

200

Given the sequence:
3,6,12,24,…

• What is the common ratio?

2

300

Find the explicit formula for the geometric sequence:
5,15,45,135,…

a_n=5(3)^(n-1)

400

A geometric sequence has a1=2 and common ratio r=−3.
What is the 6th term?

−486

500

A bacteria culture starts with 200 bacteria and triples every hour. How many bacteria will there be after 5 hours?

16,200

Coach Ausland

100

How many children does coach ausland have?

2

200

What is coach ausland's favorite sport to watch?

a. golf

b. football

c. basketball

d. hockey

a. golf

300

What year was coach ausland born?

2000

400

What month is coach ausland's birthday?

a. March

b. May

c. July

d. August

b. May

500

What is coach Ausland's Favorite pokemon?

Pikachu/mimikyu