The table below gives for the value of continuous function f at each x-value. Using the Intermediate Value Theorem and the information in the table, determine the smallest interval in which the function must have a root. x f(x) -5 1.25 -4-1.03 -3-3.05 -2-4.01 -1-4.02 0 -4.69 1-4.43 2-5.45 3 -0.76 4 -4.93 5 -9.93
The table below gives for the value of continuous function f at each x-value. Using the Intermediate Value Theorem and the information in the table, determine the smallest interval in which the function must have a root. x f(x) -5 1.25 -4-1.03 -3-3.05 -2-4.01 -1-4.02 0 -4.69 1-4.43 2-5.45 3 -0.76 4 -4.93 5 -9.93
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 1
Introduction:
The intermediate value theorem is a theorem about continuous functions. Intermediate value theorem has its importance in Mathematics, especially in functional analysis. This theorem explains the virtues of continuity of a function.
Given:
Value table.
To Find:
smallest interval containing zero.
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