The two functions depicted in the graphs are:

1. Top Graph: A quadratic function, most likely $y = x^2$ or a similar parabola.
2. Bottom Graph: A cubic function, most likely $y = x^3$ or a similar S-shaped curve.

Would you like further details or explanations?

Here are 5 related questions to explore:

1. How can we determine the equations of these graphs more precisely?
2. What are the general properties of quadratic functions?
3. What are the general properties of cubic functions?
4. How do we differentiate between even and odd functions like these?
5. What transformations could modify the appearance of these graphs?

Tip: The symmetry of a function helps identify it; parabolas are symmetric about their vertex, while cubic functions have rotational symmetry.