Consider a continuous function f(x). The function has critical points at x = -7, x = -2, and x = 7. The table below shows the critical points of the function and the sign of f"(x) on each critical point. At which value(s) of x are local minima guaranteed to occur? Critical Point Sign of f"(x) at Critical Point -7 -2 -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Consider a continuous function f(x). The function has critical points at x = -7, x = -2,
and x = 7. The table below shows the critical points of the function and the sign of f"(x)
on each critical point. At which value(s) of x are local minima guaranteed to occur?
Critical Point
Sign of f"(x) at Critical Point
-7
-2
+
Select all that apply:
A -7
The function is not guaranteed to have a local minimum.
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Transcribed Image Text:Question Consider a continuous function f(x). The function has critical points at x = -7, x = -2, and x = 7. The table below shows the critical points of the function and the sign of f"(x) on each critical point. At which value(s) of x are local minima guaranteed to occur? Critical Point Sign of f"(x) at Critical Point -7 -2 + Select all that apply: A -7 The function is not guaranteed to have a local minimum. • Previous Next sok Pro +, ) 8 9 delete
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