Answer: The given function is y = f(x), defined as follows:
f(x) = x^2 * sin(4x) + 36, if x ≠ 0
f(x) = 0, if x = 0
The function f(x) combines the quadratic function x^2 with the sinusoidal function sin(4x), and then adds a constant term of 36.
For x ≠ 0, the function f(x) is determined by the product of x^2 and sin(4x), with an additional constant term of 36.
For x = 0, the function f(x) is simply equal to 0.
The domain of the function is (-∞, ∞), meaning it is defined for all real numbers.
If you have any specific questions or require further analysis of the function, please let me know and I'll be glad to assist you.