Category 5 and a little of Category 1

• A

• B

• C

• D

What is the domain of this exponential function?

What is the range of this exponential function?

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1-0.3)^x

• y=30(5000)^x
• y=5000(1+0.3)^x

• y=5000x^x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1+0.35)^x

• y = 15(0.35)^x
• y = 35(1+0.15)^x

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1+ 0.14)^x

• y=6(1 - 0.14)^x

Which of the following functions shows an initial amount of $75 and a decrease of 12% each year?

• y = 75(12)^x

• y = 75(1 + 0.12)^x

• y = 75(1 - 0.12)^x

• y = 75(88)^x

Which ONE of the following equations represents exponential decay?

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

What is the initial value?

• $35,000

• 0.05

• 1.05

• 0.95