AP Precalculus 3.15 Rates of Change in Polar Functions focuses on analyzing rates of change in polar functions, emphasizing how the distance r changes with respect to the origin. Students will determine whether r is positive, negative, increasing, or decreasing, often analyzing combinations of these behaviors. It also explores how converting polar graphs to rectangular coordinate systems can help in understanding and interpreting the curves. Key topics include finding relative minima and maxima by observing transitions between increasing and decreasing behavior, calculating the Average Rate of Change (AROC) for polar curves using the appropriate formula, and approximating f(θ) values near a given θ using the point-slope form of a line. This worksheet builds essential skills for analyzing polar graphs and their characteristics.
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