The question asks for identifying the relative extrema on the graph, which are the points where the function transitions from increasing to decreasing (relative maxima) or decreasing to increasing (relative minima).

Observations from the graph:

1. Relative Maximum:
   At approximately $x = 3$, the graph has a peak at $(3, 1)$. Here, the slope of the function changes from positive to negative.

2. Relative Minima:

   • At approximately $x = 1.5$, the function reaches a valley, located at $(1.5, 0)$.
   • At $x = 4$, the graph again dips, forming another relative minimum at $(4, 0)$.

Correct Answer:

"There is a relative minimum at (1.5, 0) and (4, 0) and a relative maximum at about (3, 1)."

Would you like a step-by-step explanation or further clarification on relative extrema?

Here are 5 related questions to deepen your understanding:

1. How are relative extrema identified using the first derivative test?
2. How do we distinguish between a relative maximum and a global maximum?
3. Can relative extrema occur at endpoints of a function's domain?
4. How does the second derivative test confirm relative extrema?
5. What are saddle points, and how do they differ from extrema?

Tip: A relative maximum or minimum occurs when the slope of the tangent (first derivative) is zero or undefined, and the function changes direction at that point.