Math 234 BL1 - Exam 2 Review Know how to: 2.1: Inspect a graph to determine the increasing/decreasing and concavity behavior of a function. 2.2: Relate the first and second derivative to increasing/decreasing and concavity behavior of a function. Find the intervals on which a function is increasing and those on which it is decreasing. Find the intervals on which a function is concave up and those on which it is concave down. 2.3: Accurately sketch a polynomial using the first and second derivative and identify the relative extreme points. Identify and classify each critical point of a function as a relative max or min using the first or second derivative test. 2.4: Use the first and second derivative to accurately sketch the graph of a function involving x 1 . Note: For 2.3 and 2.4, “accurately” means that when the function is concave up (increasing etc.) you draw it that way. For example, you may loose points if a segment of the graph is supposed to be concave up and you draw a straightish line instead. In other word do not leave it to the graders
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