Here is a graph of the function h. y 4+ -54 -3 -2 -1 -2- -3+ -4+ -5- Use the graph to find the following. If there is more than one answer, separate them with commas. (a) All local minimum values of h: (b) All values at which h has a local minimum:

Here is a graph of the function h. y 4+ -54 -3 -2 -1 -2- -3+ -4+ -5- Use the graph to find the following. If there is more than one answer, separate them with commas. (a) All local minimum values of h: (b) All values at which h has a local minimum:

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.CT: Chapter Test

Problem 4CT

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Question

find (a) all local minimum value of h and (b) all values at which h has a local minimum

Here is a graph of the function h.
4+
3+
1-
-5
-4
-3-2
-1
-1+
-2+
-3-
-4-
-5+
Use the graph to find the following.
If there is more than one answer, separate them with commas.
(a) All local minimum values of h: |||
0,0,...
(b) All values at which h has a local minimum:|

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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