Show that every polynomial function is continuous.

Explanation

To show that every polynomial function is continuous, we can follow these steps:

### Step 1: Define a Polynomial Function
Let \( P(x) \) be a polynomial function defined as:
\[ P(x) = a_n x^n + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + \ldots + a_1 x + a_0 \]
where \( a_n, a_{n-1}, \ldots, a_0 \) are constants and \( n \) is a non-negative integer.
...