Joining two functions so that their gradients match: Part 1 (Maths Methods PSMT IA1 prep)

Summary

In this video, the presenter demonstrates how to connect a trigonometric function and a cubic function at a specific point with matching gradients. By working through the process of identifying the functions' equations, the presenter explains how to determine the coefficients of the cubic function using simultaneous equations. With technology, such as a graphing calculator or GeoGebra, the solution is verified by ensuring the functions meet at the correct point with the same gradient. The video concludes by showing how the two functions smoothly connect while passing through selected points, providing a hands-on example of function manipulation and analysis.

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