P(x)=x^2-9x+17 Find a point the graph of P(P(x)) corresponding to a local maximum value

Описание к видео P(x)=x^2-9x+17 Find a point the graph of P(P(x)) corresponding to a local maximum value

Determining a relative maximum for a quadratic function composed with itself. The composition results in a quartic expression with well known end behavior and as many as 3 turning points(one less than the degree of 4)

Expanding the out to the actual fourth degree polynomial was unnecessary since completing the square twice and factoring proved to be a pleasant alternative. The local maximum value of 909/16 occurs at x = 9/2. The length of the neighborhood including x=9/2 was not determined
Math tutor Vishakh Nair presented a similar topic

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