4.1, 4.2 concepts
b^y=x
The equation y=(seepic1) is the equivalent to the exponential form ______________________, x>0, b doesn't equal 1
b^x (-infinity, infinity) (0, infinity)
The exponential function f with base b is defined by f(x)=___________________, b>0 and b doesn't equal 1. Using interval notation, the domain of this function is __________________ and the range is ___________________
logarithmic b
The function f(x)=(seepic1) is the _______________ function with base ________________
x-axis
The graph of (seepic1) is the graph of (seepic2) reflected about the ________________
to the left 3 units
The graph of (seepic1) is the graph of (seepic2) shifted ___________________
up 6 units
The graph of (seepic1) is the graph of (seepic2) shifted ___________________
y-axis x=0 asymptote
The graph of f(x)=(seepic1) approaches, but does not touch, the ________________. The axis, whose equation is ______________, is a ______________ asymptote
x-axis y=0 horizontal
The graph of the exponential function with base b approaches, but does not touch the _______________. This axis, whose equation is _________________, is a __________________ asymptote.
common logx
The logarithmic function with base b is called the ____________________ logarithmic function. The function (seepic1) is usually expressed as ________________
natural lnx
The logarithmic function with base e is called the ____________________ logarithmic function. The function (seepic1) is usually expressed as ________________
e natural 2.718281827
The value that (1 + (1/n))^n approaches as n gets larger and larger is the irrational number ________________ called the ______________ base. This irrational number is approximately equal to _______________
(0, infinity) (-infinity, infinity)
using interval notation, the domain of f(x)=(seepic1) is __________________ and the range is ____________________