Exponential Functions Review

Which of the following are examples of exponential growth? (Select all that apply)

• y=2(0.5)^x

• The number of cells in a particular cell sample doubles in size every day.

• y=9(1-0.75)^x

Tags

CCSS.HSF-IF.C.8B

Which of the following are examples of exponential decay? (Select all that apply)

• f(x)= 4/7(1.18)^x

• A cars value depreciates by 18% per year.

• f(x)= 0.3(1.5)^x

Tags

CCSS.HSF-IF.C.8B

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

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

• Growth
• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

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

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

Tags

CCSS.HSF.BF.A.2

Is the following function exponential growth, exponential decay, linear, or none of the above?
p(x) = 13x - 5

• Exponential growth
• Exponential decay
• Linear
• None of the above

Tags

CCSS.HSF-LE.A.1A

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

• The number of elephants was 1,015 in 1975.
• The number of elephants increases by 1.5% each year.
• The number of elephants increases by 101.5% each year.
• The number of elephants is multiplied by 1.015 each year.

Tags

CCSS.HSF.LE.B.5