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# Math098

### Exponential and Logarithmic Function Vocabulary

Inverse Function The inverse function can be found by switching the coordinates of the ordered pairs of the function 
Sum of Functions (f + g)(x) = f(x) + g(x)
Difference of Functions (f - g)(x) = f(x) - g(x)
Product of Functions (f ∙ g)(x) = f(x) ∙ g(x)
Quotient of Functions (f / g)(x) = f(x) / g(x), g(x)≠ 0
Common Logarithm Log x means base 10 but is not written 
Composition of Functions (f ∘ g)(x) = f(g(x)) (g ∘ f)(x) = g(f(x))
Exponential Function A function of the form f(x) = b^x if b >0, b is not 1, and x is a real number.
Logarithmic Function
Natural Logarithm Logarithm with base e. 
Half-Life Is the amount of time it takes for half of the amount of a substance to decay. 
Exponential Growth A quantity that grows by the same percent at regular time periods. 
Exponential Decay A quantity that decays by the same percent at regular time periods.
Product Property of Logarithm log xy = log x + log y with the same base
Quotient Property of Logarithm og x/y = log x - log y with the same base
Power Property of Logarithm log x^r = r log x with the same base
Continuously Compounded Interest Formula A=Pe^rt
Compound Interest Formula  A=P(1+r/n)^nt
Exponential Growth Model y = C( 1 + r) ^ x 
Exponential Decay Model y = C(1 - r)^x
Change of base formula logb x= loga x/loga b
Created by: dcharm