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Consider the function f(x) = 12x5 +75x¹ - 120x³ +1. For this function there are four important intervals: (-∞, A]. [A, B].[B, C), and [C, ∞o) where A, B, and C are the critical numbers Find A and B nd C t each critical number A, B, and C does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER. t A t B G

Consider the function f(x) = 12x5 +75x¹ - 120x³ +1. For this function there are four important intervals: (-∞, A]. [A, B].[B, C), and [C, ∞o) where A, B, and C are the critical numbers Find A and B nd C t each critical number A, B, and C does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER. t A t B G

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
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Consider the function f(x) = 12x5 + 75x¹ – 120x³ +1. For this function there are four important intervals: (-∞, A], [A, B].[B, C'], and [C, ∞) where A, B, and C are the critical numbers. Find A and B and C At each critical number A, B, and C does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER. At A At B At C
Transcribed Image Text:Consider the function f(x) = 12x5 + 75x¹ – 120x³ +1. For this function there are four important intervals: (-∞, A], [A, B].[B, C'], and [C, ∞) where A, B, and C are the critical numbers. Find A and B and C At each critical number A, B, and C does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER. At A At B At C
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