Answered: -1.5 (-1,5) -1. (-0.707,4.237) -0.5 7…

Math

Calculus

-1.5 (-1,5) -1. (-0.707,4.237) -0.5 7 34 1 (0, 3) -1 -3L (0.707, 1.762) 0.5 1. (1, 1) 1.5 x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 28E

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Question

100%

State whether each labeled point identifies a local minimum, a local maximum, or neither. Identify
intervals on which the function is increasing and decreasing. No Change

Increasing_______

Decreasing_________

-1.$
(-1,5)
T
7
(-0.707, 4.237) 5
-0.5
3
1
-1
(0, 3)
(0.707, 1.762)
0.5
1.
(1,1)
1.5

Formula Formula A function f ( x ) is also said to have attained a local minimum 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 a case f ( a ) is called the local minimum value of f ( x ) at x = a .

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