MATH-1428 Lecture Notes - Lecture 8: Ferrari P, Floor And Ceiling Functions

• School: College of DuPage
• Department: Mathematics
• Course: MATH-1428
• Professor: Freedy Nang

Document Summary

2. 2 the algebra of functions notes: sterling. Provide a generalization to each of the key terms listed in this section. Greatest integer function"s properties f (x) = [[x]] < f (x) < ( , ) Sum of functions f (x) = [[x]] f (5) = [[5]] x 5 (f + g) (x) = f (x) + g (x) Example : f (x) = 2x + 4 g (x) = 6x + 6 (f + g) (x) (f + g) (x) Di erence of functions (f g) (x) = f (x) g (x) Example : f (x) = 2x + 4 g (x) = 6x + 6 (f g) (x) (f g) (x) = (2x + 4) (6x + 6) = (2 6)x + (4 6) = 4x 2 (f g) (x) = f (x) g (x) = 12x2 + (12 + 24)x + 24.