Compare the functions f(x) = x5 and 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 find: All intersection points by comparing the graphs of the function and also compare the rate at which function increases with the increasing value of x.
Use online graphing calculator and draw the function and as shown
in the Figure 1.
From Figure1 it is cleared that the intersection point is .
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
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