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MATA32H3 (150)
Lecture

Just about everything Prof Grinnell wrote on the board.

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School
University of Toronto Scarborough
Department
Mathematics
Course
MATA32H3
Professor
Raymond Grinnell
Semester
Fall

Description
091710 Review of Functions + Other Basics ( 2.1-2.5, 4.1-4.4) 2 Ex 1 Let p(x) = 4x + 3x - 1 a) p is a quadratic Evaluations: p(0) = -1 p(3) = 36 + 9 - 1 = 44 p(x + 2) vs. p(x) + 2 2 2 = 4(x + 2) + 3(x + 2) 1 = 4x +3x+1 = 4(x + 4x + 4) + 3x + 6 - 1 = 4x + 16x + 16 + 3x + 6 - 1 2 = 4x + 19x + 21 * in descending powers 2 Find a function g such that g(x + 2) = p(x) = 4x + 3x 1 09897J419K01472J [ ,[ + bx + c We solve for a, b, c 2 2 a(x + 2) + b(x + 2) + c = 4x + 3x - 1 2 2
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