LOGARITHMIC AND EXPONENTIAL FUNCTIONS
Study of the logarithm and exponential function:
The function f (x) = e x and its inverse f (x) = ln(x) are important in both theory and practice.
THE LOGARITHMIC FUNCTION WITH BASE b is the function:
y = logb x.
The logarithm of 1 is 0. y = logb1 = 0.
The logarithm of the base is 1. logbb = 1.
By definition: logby = x means bx = y.
Problem 1:
a) Let f(x) = ex. Write the function f(−x).
f(−x) = ...
b) What is the relationship between the graph of y = ex and the graph
of y = e−x ?
y = e−x is ... of y = ex.