To determine
To Compare: Graphs of f(x)=x10 and g(x)=ex
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)=x10 is a polynomial function while g(x)=ex is an exponential function.
The graphs of both the functions in different viewing rectangles are shown below:
−1≤x≤0
0≤x≤1.5
−1≤x≤1
−2≤x≤2
There are tow points of intersection which are －0.9 and 1.1.
From the graph its clear that, the exponential function, g(x)=ex, grows more rapidly for large x.
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.