CHapter 4 Section 4-1- 4-4

Vocabulary

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Real life Example

What did we do?

1) exponential growth can deal with a population growing at a rapid increase over a long period of time like for example a cities population started out in 2007 at 3,810 and is growing at an anual rate of 3.5 if the growth rate continues then the population in 2020 would be 5,958 to find this you would have to multiply the initial amount by the growth which would be 1.035 and raised to the 13 power for the amount of years after 2007.2) Logarithmic- the richter scale, which is finding the energy that is relased from an earthquake. in 1964, an earthquake centered at Prince William Sound, Alaska, registered a magnitude of 9.2 on the richter scale. find the energy released.9.2=2/3log(E/10^11.8)3/2*9.2=log(E/10^11.8)13.8=log(E/10^11.8)13.8=logE-log10^11.813.8=logE - 11.825.6=logE10^25.6=EE=3.98x10^25

1)exponential function- a function whose value is a constant raised to a power2)base- b is the constant 3)asymptote- a line that continually approaches a given curve but does not meet it 4)exponetial growth- growth whose rate becomes ever more rapid 5)exponential decay- a particular form of a very rapid decrease in some quantity.6)inverse relation- the relation that occurs when the order of the elements is switched7)inverse function- a function that "reverses" another function:8)logarithm-a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.9)common logarithm- a logarithm to the base 10.1o)logarthm function- "log base b of x"

1)http://www.sosmath.com/algebra/logs/log4/log4.html#exponential2)http://www.mathsisfun.com/algebra/exponents-logarithms.html3)http://www.mathsisfun.com/sets/function-inverse.html4)http://patrickjmt.com/solving-logarithmic-equations-example-1/

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