Show that the function f(x) = x4 + 8x + 6 has exactly one zero in the interval [-1, 0]. ... Which theorem can be used to determine whether a function f(x) has any zeros in a given interval? O A. Mean value theorem OB. Extreme value theorem O C. Rolle's Theorem OD. Intermediate value theorem

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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Show that the function f(x) = x4 + 8x + 6 has exactly one zero in the interval [-1, 0].
Which theorem can be used to determine whether a function f(x) has any zeros in a given interval?
OA. Mean value theorem
OB. Extreme value theorem
O C. Rolle's Theorem
OD. Intermediate value theorem
Transcribed Image Text:Show that the function f(x) = x4 + 8x + 6 has exactly one zero in the interval [-1, 0]. Which theorem can be used to determine whether a function f(x) has any zeros in a given interval? OA. Mean value theorem OB. Extreme value theorem O C. Rolle's Theorem OD. Intermediate value theorem
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