[-2,2] and x [-10,10]. Determine the intervals
where f(x) < g(x) and f(x) > g(x). Which function dominates
for large values of x? 1. In this problem we explore the exponential, logarithmic, and power functions.
a. Consider the functions:
Find all points of intersection (x and y values). (There are
three of them.) Create two graphs in EXCEL or Maple of f(x) and g(x) for x [-2,2] and x [-10,10]. Determine the intervals
where f(x) < g(x) and f(x) > g(x). Which function dominates
for large values of x?
b. Now consider the functions:
Create two graphs in EXCEL or Maple of f(x) and g(x) for x [0,5] and x [0,1010]. Find all points of intersection. (There are two of them.)
Determine the intervals where f(x) < g(x) and f(x) > g(x). Which function dominates
(is larger than) for large values of x?