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exponential and logarithmic functions
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vocab for exponents and logarithms for use in alg 2, topics and pre calc
Terms in this set (24)
base
the number or term that is being repeated
exponent
the number or term to which the base is repeated
exponent
the amount of times that the base is multiplied by itself
power
the specific value of the exponent
domain
the set of input values for which there is a defined output
range
the set of output values
exponential function
any set of functions where the variable is in the exponent
logarithmic function
the inverse of the exponential function
logarithmic function
the function that outputs the value of the exponent for a given base when the input is some number
exponential function
the inverse of the logarithmic function
common logarithms
logarithmic functions of base 10
log
abbreviation of common logarithms
natural logarithms
logarithmic functions of base e
e
Eulers number.
increasing function
a function whose graph increases as the values of the domain increase
decreasing functions
a function whose graph decreases as the values of the domain increase
constant function
a functions whose graph stays horizontal as the values of the domain increase
y-intercept
the coordinate of the point where the graph hits the y-axis
inverse relation
the relation that reverses each ordered pair (a,b) to (b,a)
inverse relation
undoes the original relation
one to one function
a function that has an inverse that is also a function
one to one function
a function where each element of the range matches exactly one element of the domain
horizontal line test
when each horizontal line intersects the graph of the function at most one point
horizontal line test
tests if a function is a one to one function
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