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

Latest revision as of 15:35, 9 November 2017

The function $f(x)=3x^{7}-8x+2$ is a polynomial and therefore continuous everywhere.

(a) State the Intermediate Value Theorem.

(b) Use the Intermediate Value Theorem to show that $f(x)$ has a zero in the interval $[0,1].$

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-<span class="exam">
+<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.
-::<span class="exam">a)
+<span class="exam">(a) State the Intermediate Value Theorem.
-::<span class="exam">b)
+<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>
+<hr>
+[[009A Sample Midterm 2, Problem 2 Solution|'''<u>Solution</u>''']]
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+[[009A Sample Midterm 2, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009A_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]