Exponential Functions, Growth, and Decay (2 Questions) Tell whether each function represents growth or decay, then graph by using a table of values: (1.25) x

Inverses (3 questions) Write the inverse of the following function: 2.

Logarithmic functions (4 questions) Write the exponential in logarithmic form: =343 Write the logarithmic in exponential form: 4. 2 = log o

Properties of logarithms (6 questions) Express as a single logarithm and simplify 5. log 2 8+ log log 10 – log ln e 4x 8. e 4 ln x 9. log – 2(10 log 16 ) log 2 16

Exponential and Logarithmic Equations (4 questions) Solve: 10.3 x-1 = 1/911.5 x = x+4 = log (x – 2) + log (x + 2) = 21

The natural Base, e (4 questions, overlapping with properties of logs) Simplify: 14.e ln(2x+1) 15. ln e 14x 16.Use the natural decay function: N(t) = N 0 e -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) 17.Write the transformed function: f(x) = log (x – 1) is translated 5 units right at then reflected across the x-axis. 18.Write the transformed function: f(x) = e x is reflected across the x – axis, stretched vertically by a factor of 3, and shifted 2 units down.

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. Years since Data was first collected Population Size