Consider f(x) = x + sin(x) on the interval [0, 27]. (a) Y - Intercept : The y-intercept of f(x) is: (0,0) Σ (b) Increasing / Decreasing: f is increasing for x E (0,pi)U(pi,2pi) Σ f is decreasing for x E NONE Σ (c) Critical Point Classification: f is has local maximums at x = NONE Σ f is has local minimums at x = NONE Σ f is has critical points that are neither local mins nor maxes at x = pi Σ (d) Concavity: f is concave up for x E (pi,2pi) Σ f is concave down for x E (0,pi) Σ (e) Inflection Points: f is has inflection points at x = NONE Σ

Consider f(x) = x + sin(x) on the interval [0, 27]. (a) Y - Intercept : The y-intercept of f(x) is: (0,0) Σ (b) Increasing / Decreasing: f is increasing for x E (0,pi)U(pi,2pi) Σ f is decreasing for x E NONE Σ (c) Critical Point Classification: f is has local maximums at x = NONE Σ f is has local minimums at x = NONE Σ f is has critical points that are neither local mins nor maxes at x = pi Σ (d) Concavity: f is concave up for x E (pi,2pi) Σ f is concave down for x E (0,pi) Σ (e) Inflection Points: f is has inflection points at x = NONE Σ

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 14E

See similar textbooks