EXPONENTIAL JEOPARDY

Properties of Exponents

100

The property listed below:

a^x * a^y = a^x+y

What is:

Product Property

200

The property listed below:

a^x/a^y = a^x-y

What is:

the quotient/fraction rule 

300

The property listed below:

(a^x)^y = a^xy

What is:

The power rule

400

The property listed below:

(ab)^x = a^xb^x

What is:

Power of a product rule

500

The property listed below

a^-x = 1/a^x

what is:

negative exponent

Exponent Property Problems

100

solve (simplify):

x³y⁴ * x²y³

answer:

x⁵y⁷

200

solve (simplify):

(x⁴y⁶)/(x²y³)

answer:

x²y³

300

Solve:

(r³)⁵

Answer:

r¹⁵

400

Solve:

(x²y⁶)²

Answer:

x⁴y¹²

500

solve:

(x⁴/y⁵)^-1

Answer:

(y⁵/x⁴)

Exponential Graphs

100

*on your handout graph 1...*

The graph is showing (GROWTH OR DECAY)

DECAY

200

*on your handout graph 4...*

The graph is showing GROWTH OR DECAY

GROWTH

300

*on your handout graph 4...*

what is the rate of change? (b value is...)

2^x

^{times 2}

400

*on your handout graph 1...*

The y-intercept is (the value for a is)

4

500

*on your handout graph 1 & 4...*

The equations are...

G1: y = 4 (1/2)^x

G4: y = 5*2^x

Exponential Equations

100

*on your handout graph 2...*

What is the equation

y = 2 (1/2)^x

200

*on your handout graph 3...*

what is the equation?

y = 4*2^x

300

*on your handout graph 5...*

what is the equation?

y = 1*10^x

^or

y = 10^x

400

*on your handout table 1...*

What is the equation

y = 0.04*5^x

500

*on your handout table 2...*

What is the equation

DAILY DOUBLE

F(4) = ?

y = 64*0.75^x

^or y=64(1/4)^x

D.D: f(4) = 20.25

Word Problems (bonus pts)

100

on the handout word problem 1 what is the answer to a

4157.86

This represents the amount of money in the account after 15 years, which is approximately $4,157.86

200

on the handout word problem 1 what is the answer to b

$3257.79

300

on the handout word problem 2 what is the answer to a

This represents the population after 10 years, which is approximately 7,401 people

400

on the handout word problem 2 what is the answer to b

6094.97

500

I love growing plants in my garden. At the start of the season, I planted a special type of plant that doubles in size every week. Initially, the plant was 5 inches tall. Write a function g(x) that describes how tall the plant will be after x weeks. Then, use the function to determine how tall the plant will be after 6 weeks.

g(x) = 5 * 2^x

g(6) = 320