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 ____________________