Algebra 2 ~ Chapter 7

Algebra 2 ~ Chapter 7

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natural logarithmic function

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Cards (17)

Section 1

(17 cards)

natural logarithmic function

Front

y=In(x), the inverse of the natural base exponential function y=e^x. [p. 478]

Back

logarithm scale

Front

a scale used to plot growth, because large and small numbers can be used on the same graph. [p. 453]

Back

exponential function

Front

a function in the form of an exponential equation. [p. 434]

Back

Properties of Logarithms

Front

Product Property: LOGb(M*N) = LOGb(M) + LOGb(N) Quotient Property: LOGb(M/N) = LOGb(M) - LOGb(N) Power Property: LOGb(M^N) = N * [LOGb(M)] [p. 462]

Back

asymptote

Front

a straight line that is the limiting value of a curve or graph. [p. 435]

Back

logarithmic function

Front

the inverse of an exponential function. [p. 454]

Back

Continuously Compounded Interest

Front

the formula for calculating interest over an annual rate. [p. 446]

Back

common logarithm

Front

a logarithm with base 10. [p. 453]

Back

logarithm

Front

a quantity representing the power to which a fixed number (the base) must be raised to produce a given number. [p. 451]

Back

growth factor

Front

the value of 'b' for exponential growth; b > 1 [p. 436]

Back

logarithmic equation

Front

an equation that contains one or more logarithms involving a variable. [p. 471]

Back

exponential growth/decay function

Front

the function for modeling exponential growth and decay. [p. 436]

Back

exponential equation

Front

an equation that contains one or more exponential expressions. [p. 469]

Back

decay factor

Front

the value of 'b' for exponential decay; 0 < b < 1 [p. 436]

Back

exponential growth

Front

one of two types of exponential behavior that states as the value of 'x' decreases, the value of 'y' increases. [p. 435]

Back

exponential decay

Front

one of two types of exponential behavior that states as the value of 'x' increases, the value of 'y' decreases, approaching zero. [p. 435]

Back

Change of Base Formula

Front

the formula to evaluate a logarithm with any base. [p. 464]

Back