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Exponential Functions, Growth, and Decay (2 Questions). Tell whether each function represents growth or decay, then graph by using a table of values: 1. 0.5(1.25) x. Inverses (3 questions). Write the inverse of the following function: 2. . Logarithmic functions (4 questions).

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exponential functions growth and decay 2 questions
Exponential Functions, Growth, and Decay (2 Questions)
  • Tell whether each function represents growth or decay, then graph by using a table of values:
  • 1. 0.5(1.25)x
inverses 3 questions
Inverses (3 questions)
  • Write the inverse of the following function:
  • 2.
logarithmic functions 4 questions
Logarithmic functions (4 questions)
  • Write the exponential in logarithmic form:
  • 3. 35 =343
  • Write the logarithmic in exponential form:
  • 4. 2 = logo.6 0.36
properties of logarithms 6 questions
Properties of logarithms (6 questions)
  • Express as a single logarithm and simplify
  • 5. log2 8+ log2 16
  • 6. log 10 – log 0.1
  • 7. ln e4x 8. e4 lnx
  • 9. log 1064 – 2(10log 16)

log2 16

exponential and logarithmic equations 4 questions
Exponential and Logarithmic Equations (4 questions)
  • Solve:
  • 10. 3x-1 = 1/9 11. 5x = 50
  • 12. 2x+4 = 20
  • 13. log (x – 2) + log (x + 2) = 21
the natural base e 4 questions overlapping with properties of logs
The natural Base, e (4 questions, overlapping with properties of logs)
  • Simplify:
  • 14. eln(2x+1) 15. ln e14x
  • 16. Use the natural decay function:

N(t) = N0e-kt to find the age of a fossil containing 30% of the original amount of a substance whose half life is 5000 years.

transformations 2 questions
Transformations (2 questions)
  • 17. Write the transformed function:

f(x) = log (x – 1) is translated 5 units right at then reflected across the x-axis.

    • Write the transformed function:

f(x) = ex is reflected across the x – axis, stretched vertically by a factor of 3, and shifted 2 units down.

exponential and logarithmic regressions 2 questions
Exponential and Logarithmic Regressions (2 questions)
  • The table gives the population size of a flock of birds in one habitat over the last 55 years.
  • Find an exponential regression for the data.