Find maximum and minimum values , if any , of the function f given by f(x) = `x^(4) + 1 , x in R`.

Explanation

To find the maximum and minimum values of the function \( f(x) = x^4 + 1 \) for \( x \in \mathbb{R} \), we will follow these steps:

### Step 1: Analyze the function
The function is given by:
\[ f(x) = x^4 + 1 \]
This is a polynomial function, and since the leading term \( x^4 \) is positive, the function will tend to infinity as \( x \) approaches both positive and negative infinity.
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