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