To determine

To Compare: Graphs of f(x)=x5 and g(x)=5x

Answer

The graphs of both the functions with their point of intersection along with the difference between their growth for large value of x is explained.

Explanation

The function f(x)=x5 is a polynomial function while g(x)=5x is an exponential function.

The graphs of both the functions in different viewing rectangles are shown below:

−1≤x≤1

−2≤x≤2

−3≤x≤3

−4≤x≤4

−10≤x≤10

There is only one point of intersection which is 1.8.

From the graph its clear that, the exponential function, g(x)=5x, grows more rapidly.

Conclusion : The graphs of both the functions with their point of intersection along with the difference between their growth for large value of x is explained.