Algebra II Exponential & Logarithmic Functions

Which functions is a model of exponential growth?

• f(x) = 3(.99)^x

• f(x) = .99(3)^x

• f(x) = .99(3)^-x

• f(x) = .99(1 - 0.3)^x

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CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Most automobiles depreciate as they get older. Suppose an automobile that originally costs $14,000 depreciates by 20% of its value every year.

What exponential equation can we create to model this situation?

• y=14000(.20)^x

• y=14000(.80)^x

• y=14000(1.20)^x

• y=14000(1.80)^x

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CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The amount of money in an account at any given time is modeled by the equation A = 4100(1.45)^x. How does the amount of money in the account change each year?

• It increases by 145%.

• It increases by 45%.

• It decreases by 145%.

• In decreases by 45%.

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CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Describe the transformations that change the graph of  $y=2^x$  to the graph of  $y=2^{x+4}+5$  

• Left 4, Up 5

• Right 4, Up 5
  

• Left 4, Down 5

• Right 4, Down 5

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CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

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CCSS.HSF.BF.B.4

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What type of function is $f\left(x\right)=2\left(\frac{1}{7}\right)^x$  ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Is this exponential growth or decay?

• Growth
• Decay

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CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

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CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

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CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

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CCSS.HSF.BF.B.5