Let f(x) = - 2x^3 + 15x^2 - 24 x + 5 be a given function then find, A) all the intervals at which the functions is increasing or decreasing? - sign of f'(x) and arrows B) all the relative maximum/ minimum points? C) find the inflection point? D) find its connectivity? E) sketch its graph

Let f(x) = - 2x^3 + 15x^2 - 24 x + 5 be a given function then find, A) all the intervals at which the functions is increasing or decreasing? - sign of f'(x) and arrows B) all the relative maximum/ minimum points? C) find the inflection point? D) find its connectivity? E) sketch its graph

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 44E

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Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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