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Secant and Tangent Lines

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Consider function
f(x) = -x^2 +2x and points P1 = (0, 0), P2 = (1, 1) and P3 = (2, 0). Find equations
of:

- secant lines to f through every pair of these points (3 pairs), and
- tangent lines to f at each of these points.

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Solution Summary

Secant and tangent lines are represented in the solution.

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