To identify where the function $G(x)$ is increasing or decreasing, we need to examine its first derivative, $G'(x)$. If $G'(x) > 0$, the function is increasing, and if $G'(x) < 0$, the function is decreasing.

Here’s a step-by-step approach:

1. Find the derivative $G'(x)$.
2. Determine where $G'(x) = 0$ or is undefined, as these points are potential locations where the function may change from increasing to decreasing (or vice versa).
3. Test the intervals created by these critical points to see if $G'(x)$ is positive or negative.

Without knowing the explicit form of $G(x)$, I cannot solve it directly. If you can provide the expression for $G(x)$, I can determine the intervals where the function is increasing or decreasing.

Would you like to share the expression for $G(x)$?

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Here are five related questions to expand on the concept:

1. How do you find critical points for a function, and why are they important in determining intervals of increase or decrease?
2. What is the significance of a function’s derivative changing signs at critical points?
3. How would you determine if a critical point is a local minimum, local maximum, or a saddle point?
4. How do higher-order derivatives (like the second derivative) help in understanding a function's behavior?
5. How do we apply interval notation in expressing the solution to increasing or decreasing intervals?

Tip: Always check endpoints of the interval when dealing with closed intervals to understand the function’s behavior fully.