document.write( "Question 1202119: Answer the following questions for the function
\n" ); document.write( "f(x)=xx2+4
\n" ); document.write( "defined on the interval [−4,6].\r
\n" ); document.write( "\n" ); document.write( "A. f(x) is concave down on the interval
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\n" ); document.write( "\n" ); document.write( "B. f(x) is concave up on the interval
\n" ); document.write( " to \r
\n" ); document.write( "\n" ); document.write( "C. The inflection point for this function is at x= \r
\n" ); document.write( "\n" ); document.write( "D. The minimum for this function occurs at x= \r
\n" ); document.write( "\n" ); document.write( "E. The maximum for this function occurs at x=
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Algebra.Com's Answer #836760 by math_helper(2461)\"\" \"About 
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\n" ); document.write( "What is xx2? Do you mean \"+f%28x%29+=+x%5E2+%2B+4+\" ? If not, please correct and re-post. \r
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\n" ); document.write( "\n" ); document.write( "If you DID MEAN to write \"+f%28x%29+=+x%5E2+%2B+4+\" then:\r
\n" ); document.write( "\n" ); document.write( "f'(x) = \"+2x+\"
\n" ); document.write( "f\"(x) = \"+2+\" <<< constant positive value so concave up \"everywhere\"
\n" ); document.write( " which of course includes [-4,6]\r
\n" ); document.write( "\n" ); document.write( "A. It is not concave down at all on [-4,6]
\n" ); document.write( "B. It is concave up on [-4,6]
\n" ); document.write( "C. There is no inflection point on [-4,6] (or otherwise)
\n" ); document.write( "D. The minimum is at x=0 (set f' = 0, solve for x)
\n" ); document.write( "E. The maximum on [-4,6] occurs at x=6 (you check at the endpoints of the interval [-4,6]: f(-4) = 20, f(6) = 40. Since no local maximums occur within the interval [-4,6] (rememmber it is concave up so you can only have a local minimum), there are no critical points to check on (-4,6) )\r
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