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)   = ...

The argument x is replaced by −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.