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

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

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

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

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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