MATH 112 Lecture Notes - Lecture 12: Piecewise, Floor And Ceiling Functions

• School: MNSU
• Department: MATHEMATICS
• Course: MATH 112
• Professor: Oluwafunminiyi Awe

Document Summary

Math 112 lecture 12 2. 4 more modeling with functions. Identify the x-intercept and y-intercept: discuss the domain of f, f (x) = -5x + 100, f (4) = -5 (4) + 100. 0 = -5x + 100 x = 20: domain: 0 to 20 f (x) = -5x + 100 f (21) = -5 (21) +100. = -5 gallons y-intercept y = -5 (0) +100 y = 100. The tank cannot hold -5 gallons similarly f (-1) = -5 (-1) + 100 = 105, the tank cannot hold more than 100 gallons. Piecewise defined functions: when a function f models data there may not be one formula for f(x) that works. In this case, the function is something defined in pieces of its domain and is therefore called a piecewise defined function. = 8 f (5) is undefined because 5 is not in the domain of f.