Let f(x) = 2x³-5x + 2. Explain, by using the Intermediate Value Theorem, why this function has (at least) three x-intercepts in the interval (-3,3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Let f(x)
2x³5x+2. Explain, by using the Intermediate Value
Theorem, why this function has (at least) three x-intercepts in the interval (-3,3)
Transcribed Image Text:Let f(x) 2x³5x+2. Explain, by using the Intermediate Value Theorem, why this function has (at least) three x-intercepts in the interval (-3,3)
Expert Solution
Step 1

The given function fx=2x3-5x+2.

Using the intermediate value theorem, we have to explain the function has at least three x-intercepts in the interval -3, 3.

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