Looking at the graph of the function you uploaded, we can identify the locations and values of the relative maxima and minima.

Identifying Relative Maxima and Minima:

• Relative Maxima occur at the highest points of a curve within a certain interval.
• Relative Minima occur at the lowest points within a certain interval.

Analyzing the Graph:

• Relative Maxima:

  • There is a local maximum at $x = -2$ with a value of $y = 2$.
  • There is another local maximum at $x = 2$ with a value of $y = 2$.

• Relative Minima:

  • There is a local minimum at $x = 0$ with a value of $y = -2$.

Answer:

• Relative maxima: at $x = -2$ and $x = 2$, both with values of 2.
• Relative minimum: at $x = 0$, with a value of -2.

Would you like to go over the reasoning behind these points in more detail?

Here are some related questions that might help:

1. How do you determine whether a point is a relative maximum or minimum from a graph?
2. What is the first derivative test for determining relative extrema?
3. What is the second derivative test, and how does it relate to finding maxima and minima?
4. Can a function have multiple maxima or minima? If so, what does that imply about its behavior?
5. How do you identify points of inflection on a graph?

Tip: When analyzing graphs for relative maxima or minima, look for points where the graph changes direction, i.e., where it goes from increasing to decreasing (maximum) or from decreasing to increasing (minimum).