The graph above shows the functions $f(x) = (x + 2)^3 - 4$ and $g(x) = -\frac{3}{4}x - \frac{15}{4}$. The solutions to $f(x) = g(x)$ correspond to the points where the two curves intersect.

From the graph, you can visually estimate these points of intersection, which represent the solution(s) to the equation $f(x) = g(x)$.

Would you like a more detailed analysis of the intersection points, or do you have any questions?

Here are five related questions:

1. How do you algebraically solve $f(x) = g(x)$ for the intersection point(s)?
2. Can you confirm the intersection points by substituting values back into the equations?
3. How do transformations of cubic functions affect their graphs?
4. What is the significance of the slope and intercept in the linear function $g(x)$?
5. How would the graph change if we modified the coefficients of $f(x)$ or $g(x)$?

Tip: When graphing functions, always check for key features such as intercepts and symmetry to guide your understanding of the behavior.