   Chapter 1.4, Problem 26E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Compare the functions f(x) = x5and g(x) = 5x by graphing both functions in several viewing rectangles. Find all points of intersection of the graphs correct to one decimal place. Which function grows more rapidly when x is large?

To determine

To find: All intersection points by comparing the graphs of the function f(x)=x5 and g(x)=5x also compare the rate at which function increases with the increasing value of x.

Explanation

Graphs:

Use online graphing calculator and draw the function f(x)=x5 and g(x)=5x as shown

in the Figure 1.

From Figure1 it is cleared that the intersection point is (1.765,17.125) .

Zoom in the graph in Figure 1 so,  the graph of the function is as shown in below Figure 2,

From Figure2, it is observed that there are two intersection points (1

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