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Algebra 2 Chapter 7
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Terms in this set (16)
asymptote
a line that a graph gets closer to as the value of a variable becomes extremely large or small
base
the value of b in a function of the form f(x)=ab^x, where a and b are real numbers
common logarithm
a logarithm whose base is 10, denoted log10 or just log
exponential decay
an exponential function of the form f(x)=ab^x in which 0<b<1. If r is the rate of decay, then the function can be written y=a(1-r)^t where a is the initial amount and t is the time
exponential equation
an equation that contains one or more exponential expressions
exponential function
a function of the form f(x)=ab^x, where a and b are real numbers
exponential growth
an exponential function of the form f(x)=ab^x in which b>1. If r is the rate of growth, then the function can be written y=a(1+r)^t, where a is the initial amount and t is the time.
exponential regression
a statistical method used to fit an exponential model to a given data set
inverse function
the function that results from exchanging the input and output values of a one-to-one function
inverse relation
the inverse of the relation consisting of all ordered pairs (x,y) is the set of all ordered pairs (y,x). The graph of an inverse relation is the reflection of the graph of the relation across the line y=x
logarithm
the exponent that a specified base must be raised to in order to get a certain value
logarithmic equation
an equation that contains a logarithm of a variable
logarithmic function
a function of the form f(x)=logbx, where b doesn't equal 1 and b>0 which is the inverse of the exponential function f(x)=b^x
logarithmic regression
a statistical method used to fit a logarithmic model to a given data set
natural logarithm
a logarithm with base e, written as ln.
natural logarithmic function
the function f(x)= ln x, which is the inverse of the natural exponential function f(x)=e^x. Domain is {x/x >0} range is all real numbers
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