Exponential Growth and Decay Functions

A loan of $5,000 gets

half paid off each

year.

• f(x) = 5000(0.5)^x

• f(x) = 5000(1.5)^x

• f(x) = .5(5000)^x

• f(x) = 5000(-0.5)^x

Tags

CCSS.HSF.LE.A.2

The wise man asks for

one grain of rice today

and double each day

that follows.

• f(x) = 1(2)^x

• f(x) = 2(1)^x

• f(x) = 3^x

• f(x) = 2x + 1

Tags

CCSS.HSF.LE.A.2

A piece of licorice is

20 cm long. You eat

half each minute.

• f(x) = 20(1-0.5)^x

• f(x) = 20(1-0.05)^x

• f(x) = 20(1+0.5)^x

• f(x) = -0.5(20)^x

Tags

CCSS.HSF.LE.A.2

A loan for $10,000

has an interest rate

of 5%.

• f(x) = 10,000 (1+0.05)^x

• f(x) = 10,000 (1-0.05)^x

• f(x) = 10,000 (1+0.5)^x

• f(x) = 10,000 (1+5)^x

Tags

CCSS.HSF.LE.A.2

Bacteria doubles

every hour. Right

now there are 10.

• f(x) = 10(2)^x

• f(x) = 2(10)^x

• f(x) = 10(1+2)^x

• f(x) = 10(1+.02)^x

Tags

CCSS.HSF.LE.A.2

$1000 is deposited

into an account that

earns 3% interest

• f(t) = 1000(1 + 0.03)^t

• f(t) = 1000(1 - 0.03)^t

• f(t) = 1000(1 + 3)^t

• f(t) = 3(1000)^t

Tags

CCSS.HSF.LE.A.2

A super-secret bug spray

kills half of the mosquitos

each time it is sprayed. In a

given area there are

3,000,000 mosquitos now.

• f(x) = 3,000,000(1 - 0.5)^x

• f(x) = 3,000,000(1 + 0.5)^x

• f(x) = 3,000,000 - 0.5^x

• f(x) = 1,500,000

Tags

CCSS.HSF.LE.A.2

There are 50

zombies. Their

population triples

each day.

• f(x) = 50(3)^x

• f(x) = 50(1+3)^x

• f(x) = 50(1-3)^x

• f(x) = 50(1+0.03)^x

Tags

CCSS.HSF.LE.A.2

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Tags

CCSS.HSF-IF.C.8B

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

Tags

CCSS.HSF-IF.C.7E