Exponential Functions Jeopardy

Pictionary

100

Write the equation of graph A.

What is y=2^x?

200

Write the equation of graph B.

What is y=2(2)^x?

300

Write the equation of graph C.

What is y=4(1/2)^x

400

Write the equation of graph D.

What is y=2(2)^x - 1

500

Write the equation of graph E.

What is y = 8 (1/2)^x-4

Range my Asymptote

100

Find the Domain and Range of f(x)=5^x

What are;

Domain: All real numbers

Range: y>0

200

Find the Domain and Range of f(x)=6^x - 5

What are;

Domain: All real numbers

Range: y>-5

300

Find the Domain and Range of f(x)=-2^x + 1

What are;

Domain: All real numbers

Range: y<1

400

Find the Domain and Range of f(x)=-3^x - 5

What are;

Domain: All real numbers

Range: y<-5

500

Find the Domain and Range f(x)=-3^x + 5 

What are;

Domain: All real numbers

Range: y<5

Never buy New

100

Evaluate y = 32(1.21)^x when x = 5, rounded to the nearest 10th

83

200

Evaluate the function f(x)= 1.5(4^-x) 

when x = 2

0.09375

300

You buy a car for $27,000. The following equation represents the depreciation of a car over x years. Find the value of the car 5 years from now.

V(x) = 27,000(0.96^x)

$22,015.06

400

A $300,000 house appreciates in value by 11% each year.  How much will the house be worth in 3 years?

V(x)= 300,000(1.11^x)

$410,289.30

500

Fill in the blank for this exponential function.

x: -2, -1, 0, 1, 2

y: 0.625, 0.25, ??, 4, ??, 64

1, 16

Write my Expo

100

Write the exponential function:

y-intercept = 0.2

constant multiplier = 5

y = 0.2(5^x)

200

An exponential function starts at 3 and triples every time x goes up by 1.  

Write a function that represents this situation.

f(x) = 3(3^x)

300

A $14,000 truck is worth $12,320 the next year.  Write the exponential function for this scenario if the value continues to decrease at the same rate each year.

y = 14000 * 0.88^x

400

Write the exponential function and fill in the blank.

x: 1, 2, 3, 4

y: 1536, 384, 96, ___

y=6144*0.25^x, y = 24

500

A bank is offering a savings account with a growth rate of 1.02. Write the exponential function for this scenario if you initially deposit $650.

y = 65 (1.02^x)

Bacteria and Zombies

100

Does this function represent exponential growth or decay? How can you tell?

y = 135 (1 - 0.05)^x

decay, the factor of increase is less than one

200

Is this function growth or decay? How can you tell?

y = 40 (4^x)

growth, the factor of increase is greater than one

300

Kayden's antique car is worth $12,000.  It appreciates in value by 11% each year.  Write the exponential function for this scenario.

y = 12000 (1 + .11)^x or y = 1200*1.11^x

400

Harold's credit card has 14% annual interest.  His starting balance is $3000.  How much will he owe in 3 years if he makes no other payments or charges to the card? (Harold is making a very bad financial choice)

What is $4,444.63

500

Find the percent of change, growth or decay, and fill in the bank:

x: 0, 1, 2, 3

y: 800, 600, 450, ___

25% decay, 337.5