Analyzing a Quartic Function

Let the function be defined by the equation:

$$f(x) = x^4 - 8x^2 + 16$$

Determine the value of $$f(0)$$. Additionally, analyze whether this function has any local minima or maxima by finding its critical points. Which of the following represents the maximum value of $$f(x)$$ within the interval $$[-3, 3]$$?