x = 2 is which of the following extrema? *\n10 points\nrelative maxima\nrelative minima\nabsolute…

Explanation:

Step1: Understand the definitions

• Relative minima: A point where the function changes from decreasing to increasing.
• Relative maxima: A point where the function changes from increasing to decreasing.
• Absolute minima: The lowest point of the entire function.
• Absolute maxima: The highest point of the entire function.

Step2: Analyze the graph at (x = 2)

Looking at the graph of (y = f(x)) at (x=2), the function changes from decreasing (to the left of (x = 2)) to increasing (to the right of (x = 2)). Also, it is not the lowest point of the entire function (since the function goes to (-\infty) as (x\to - 2^{-})) and not the highest point (since there is a higher point to the left of (x = 2)).

Answer:

relative minima