The speaker demonstrates how to sketch functions using a TI Inspire CX calculator, acknowledging that other calculators may have similar tools. The demonstration covers inputting a cubic function (x³ + 2x² - 4x - 5), adjusting zoom settings for a better view, and using the "Analyze Graph" menu to find x-intercepts, minimums, and maximums. The speaker highlights the "Trace" function as an underrated tool for finding the y-intercept and evaluating y-values for specific x-values. Additionally, the video briefly touches on finding intersections between two functions and calculating the derivative (dy/dx) at a given point, emphasizing these techniques for IB Math questions.
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