The image you uploaded shows a graph of a function $f(x)$ and asks to identify all relative and absolute extrema (maxima and minima) in the form of ordered pairs. I will analyze the graph to identify the points.

Analyzing the graph:

1. Relative extrema occur at local high or low points in the graph.
2. Absolute extrema occur at the highest and lowest points in the entire domain of the function.

Let's start by identifying these points visually from the graph:

• The graph seems to have peaks and troughs at certain points along the $x$-axis.

Based on the visual data from the graph:

• Absolute Maximum appears to be at $(6, 8)$, as this is the highest point on the graph.
• Absolute Minimum appears to be at $(-9, -6)$, the lowest point on the graph.
• Relative Minimum could be at $(-8, -5)$ and $(0, -4)$, as these points represent local minima.

Would you like more detailed explanations on how these extrema are identified, or should I clarify any part of the analysis?

Related questions:

1. What are the differences between relative and absolute extrema?
2. How can you find extrema using calculus (derivatives)?
3. Why is it important to distinguish between local and global extrema?
4. Can the extrema change if the domain of the function changes?
5. How can critical points help in determining the extrema?

Tip: In calculus, critical points occur where the derivative is zero or undefined, and these points often help identify relative extrema.