MAT-170 Lecture Notes - Lecture 11: Precalculus, Sign (Mathematics), Real Number
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5. 1 polynomial functions and models notes: sterling. Provide a generalization to the terms listed in this section. Identifying polynomial functions f (x) = anxn + an 1xx 1 + + a1x + a0. Graph : horizontal line with c as y intercept. Graph : a nonhorizontal and nonvertical line with a slope and y intercept. Example : y = x2 + 5x + 6. A parabola with the graph opening up when a2 > 0 and opening down when a2 < 0. Power function f (x) = axn a 6= 0 n > 0. Zero of multiplicity r when the following: (x r)m is a factor of f, (x r)m+1 is not a factor of f. Zero of even multiplicity f (x)"s sign doesn"t change from one side of r to the other side, which will make the graph touch the x-axis at r.