#### 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.