Consider the function f(x)=−3x^2+10x−10 f(x) is increasing on the interval (-∞,A]and decreasing on the interval [A,∞) where A is the critical number. Find A: At x=A, does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER.

Consider the function f(x)=−3x^2+10x−10 f(x) is increasing on the interval (-∞,A]and decreasing on the interval [A,∞) where A is the critical number. Find A: At x=A, does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

Consider the function f(x)=−3x^2+10x−10 f(x) is increasing on the interval (-∞,A]and decreasing on the interval [A,∞) where A is the critical number.

Find A:

At x=A, does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER.

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