Difference between revisions of "009A Sample Midterm 2, Problem 2"

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<span class="exam">The function <math>f(x)=3x^7-8x+2</math> is a polynomial and therefore continuous everywhere.
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<span class="exam">The function &nbsp;<math style="vertical-align: -5px">f(x)=3x^7-8x+2</math>&nbsp; is a polynomial and therefore continuous everywhere.
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::<span class="exam">a) State the Intermediate Value Theorem.
 
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::<span class="exam">b) Use the Intermediate Value Theorem to show that <math>f(x)</math> has a zero in the interval <math>[0,1].</math>
 
  
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<span class="exam">(a) State the Intermediate Value Theorem.
  
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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<span class="exam">(b) Use the Intermediate Value Theorem to show that &nbsp;<math style="vertical-align: -5px">f(x)</math>&nbsp; has a zero in the interval &nbsp;<math style="vertical-align: -5px">[0,1].</math>
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!Foundations: &nbsp;  
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[[009A Sample Midterm 2, Problem 2 Solution|'''<u>Solution</u>''']]
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'''Solution:'''
 
  
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'''(a)'''
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[[009A Sample Midterm 2, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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'''(b)'''
 
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!Step 1: &nbsp;
 
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!Final Answer: &nbsp;
 
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[[009A_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 15:35, 9 November 2017

The function    is a polynomial and therefore continuous everywhere.

(a) State the Intermediate Value Theorem.

(b) Use the Intermediate Value Theorem to show that    has a zero in the interval  

Solution


Detailed Solution


Return to Sample Exam

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