Difference between revisions of "009A Sample Midterm 3, Problem 2"

Latest revision as of 16:51, 11 November 2017

Sketch the graph of $f.$ At each point of discontinuity, state whether $f$ is left or right continuous.

f(x)={\begin{array}{cc}{\Bigg \{}&{\begin{array}{cc}x^{3}+1&x\leq 0\\-x+1&0<x<2\\-x^{2}+10x-15&x\geq 2\end{array}}\end{array}}

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-<span class="exam">
+<span class="exam">Sketch the graph of &nbsp;<math style="vertical-align: -4px">f.</math>&nbsp; At each point of discontinuity, state whether &nbsp;<math style="vertical-align: -4px">f</math>&nbsp; is left or right continuous.
-::<span class="exam">a)
+::<math>f(x)=\begin{array}{cc}
-::<span class="exam">b)
+  \Bigg\{ &
+    \begin{array}{cc}
+      x^3+1 & x\leq 0 \\
+      -x+1 & 0< x< 2 \\
+      -x^2+10x-15 & x\ge 2
+    \end{array}
+\end{array}</math>
+<hr>
+[[009A Sample Midterm 3, Problem 2 Solution|'''<u>Solution</u>''']]
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-'''Solution:'''
+[[009A Sample Midterm 3, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
-'''(a)'''
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-'''(b)'''
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 [[009A_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]