Let's solve the matching problem for each equation and its corresponding function name:

1. $y = x$: This is a Linear function. (f)
2. $y = \sqrt{x}$: This is the Square Root function. (h)
3. $y = \frac{1}{x}$: This is the Reciprocal function. (g)
4. $y = x^2$: This is a Quadratic function. (a)
5. $y = x^3$: This is a Cubic function. (c)
6. $y = |x|$: This is the Absolute Value function. (b)
7. $y = \frac{1}{x^2}$: This is the Reciprocal Squared function. (e)
8. $y = \sqrt[3]{x}$: This is the Cube Root function. (d)

Let me know if you need further details or explanations.

Here are five related questions to expand your understanding:

1. What is the general form of a polynomial function?
2. How is a cubic function different from a quadratic function?
3. What are the key features of an absolute value function graph?
4. How do reciprocal functions behave as $x$ approaches zero?
5. What are the domain and range of the square root function?

Tip: For reciprocal functions, pay attention to vertical and horizontal asymptotes, as these will help you understand their behavior at extremes.