The graph you've provided shows a parabolic function. Let's analyze the questions one by one.

1. Domain of the function:

   • Since the graph extends indefinitely on both ends (implied by arrows), the domain is all real numbers.
   • In interval notation, the domain is $(-\infty, \infty)$.
   • Therefore, $A = -\infty$ and $B = \infty$.

2. Range of the function:

   • The parabola reaches a maximum at $y = 5$ (as seen from the graph's vertex).
   • The graph continues downwards without bound, so the range is $(-\infty, 5]$.
   • Therefore, $A = -\infty$ and $B = 5$.

3. Interval of increasing function:

   • The function increases from left to the vertex, i.e., from $x = -3$ to $x = 0$ (as the vertex is at $x = 0$).
   • The interval of increase is $(-\infty, 0)$.
   • So, $A = -\infty$ and $B = 0$.

Would you like more details or have any further questions?

Here are 5 relative questions to expand your understanding:

1. What is the interval where the function is decreasing?
2. How can you find the vertex of a parabola algebraically?
3. What type of symmetry does this graph exhibit?
4. How would you determine the axis of symmetry for this function?
5. How does the concavity of the graph help determine its minimum or maximum?

Tip: A function's domain is often all real numbers unless restricted by discontinuities or boundaries.