MAT 1330 Lecture Notes - Lecture 14: Quadratic Function, Polynomial, Unita

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1330
• Professor: Rachelle Miron

Document Summary

Goal: recall and practice all the high-school material that you will need for this course: notation: y = f(x), domain, range, assignment, name, polynomial functions. Linear: y = f(x) = mx + b. Quadratic: y = f(x) = ax2 + bx + c ( nd zeros!) Higher order: nd zeros, long division: potential characteristics of functions. Symmetry: even f(x) = f( x) or odd f(x) = f( x) functions. Transformations: y = f(ax + b) + c. Composition of functions: (f g)(x) = f(g(x): rational functions: fractions of polynomials. Domain of de nition, e. g. y = f(x) = 1 x+1: functions and inequalities q 2 x 8. Comparing graphs: is f(x) > g(x)?, e. g. f(x) = 3x 2 and g(x) = x2. Root functions and domains, e. g. y = f(x) = De nition: |x| = x if x 0 and |x| = x if x < 0.