QMS 702 Study Guide - Midterm Guide: Asymptote, Exponential Decay, Inflection

• School: Ryerson University
• Department: Quantitative Methods
• Course: QMS 702
• Professor: Arash Islami

Document Summary

Sketch the graph of the function f using curve- sketching guide: Behavior of f for large absolute values of x: (i. e: lim infinity f(x) and lim -infition f(x): Horizontal and vertical asymptotes: ( ha: do limit, va: find domain) (no for polynomial) part c: h. a. y=0 v. a. x=0. Intervals where f is increasing and decreasing and find the relative extrema of f: relative. Intervals and relative max: maxima/ or minima : vertical asymptote: c) find: horizontal asymptote: State the intervals of concavity and inflection points of f: Behavior of f for large absolute values of x(lim +/- infinity) : Ha and va -> ha: does not exist, no limit value, va: no denominator, no exist. Intervals of f increasing/decreasing and relative extrema: c. d: dnc for both ha,va. Va: x=0, ha: y=0 after doing infitinity given equation: f(x) = , a) find intervals: State intervals of concavity and inflection points of f: no real max/min , use chain rule.