Unit 8 Jeopardy

Sequences (8.1 and 8.2)

100

Determine if the sequence is arthimetic or geometric and identify the pattern (common difference or common ratio):

-4, -1, 2, 5,...

Arithmetic

+3

200

Determine if the sequence is arithmetic or geometric, and create an explicit formula. 

3, 6, 12, 24, 48

Geometric

a(n)=3(2)^(n-1)

300

Find the 20th term of the following sequence:

1, 4, 7, 10,...

a(20) = 58

400

Find the 15th term of the following sequence:

2, 6, 18, 54, ... 

a(15)=9565938

500

Create a recursive formula give the explicit formula:

a(n)=2n -3

n>=1

a(n) = a(n-1) +2 

a(1) = -1

Exponential growth / decay (8.3)

100

Convert the following percent to a decimal:

13.3%

13.3% as a decimal is .133

200

Create an exponential growth equation using the following data.

a(0) = 200

r = 2.3%

t = 3

200(1+.023)^3 = 211.12

300

Diddy started an account at Bark Bank that gathers 4.4% interest every year. Diddy put $250 in the account to start. How much money will Diddy have in his account after 6 years? 

$323.70

400

Mr. Mickol's bought a new car for $15,000. His cars value is expected to decrease at a rate of 6.07% per year. How much will his car be worth after 5 years? 10 years? 

5 years: $10967.63

10 years: $8019.26

500

The population of Crowleyton was 12,000 in 2000. If the population is expected to decrease at a rate of 1.2% per year, in what year will the population drop below 10,000?

2016

Functions (8.5)

100

TRUE or FALSE:

If you have two points with the same x-values (input), but different y values (output) then you do not have a function.

True

200

Would the follow set of points be considered a function?

{(1,2), (2,3), 

{(1,2), (2,3), (4, 2), (6, -1), (1, 7)}

No, the x value 1 has two different y values. 

300

What is the domain of the following function:

{(1,2), (2,3), (4, 7), (7,7), (-1.0)}

D= {-1,1,2,4,7}

400

Find the value of f(-2) given the following equation.

f(x)=x^2 - 3x+2

f(-2) = 12

500

Given the following equation, find the value of x when f(x) = -8

f(x) = 2(x-3) +2

x=-2

Critical points of graphs (8.6)

100

Given the graph, What are the coordinates of the relative maximum?

(-4,6)

200

Given the graph, what are the coordinates of the relative minimum? 

(1,-8)

300

How many zeros are there? What are the coordinates of them?  

(-7,0) , (-1,0) , (3,0)

400

What interval(s) is the function increasing?

(-oo,-4) and (1,oo)

500

What interval(s) is the function positive?

(-7,-1) and (3,oo)

Linear and Exponential regression (8.7)

100

Which type of function will eventually get bigger than the other as x increases?

Linear or Exponential?

Exponential function

200

Which of the following scenarios would follow an exponential model?

a) a water tank being filled 2 gallons of water / hour

b) a vine grows 6 inches per week

c) A species of fly doubles its population every month

d) A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour. 

C

You are constantly multiplying by 2. 

300

Find the linear regression using the following points:

(0,1) and (4, 9)

y = 2x+1

400

Find the exponential regression using the points:

(0,2) and (3,54)

y = 2(3)^X

500

From birth to 2000, Mr. Mickol had eaten 320 total chicken nuggets.

By 2020, Mr. Mickol had eaten a total of 2,600 chicken nuggets.

Create a linear and exponential equation to model this scenario.  

Linear: 

y=114x+320

Exponential:

y=320(1.11)^x