document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860361>Question 860361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the function f(x) = a sin x + q \r<BR>\n" );
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document.write( "a) What is the maximum value of f(x)? For what values of x does this occur?\r<BR>\n" );
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document.write( "b) What is the minimum value of f(x) ? For what values of x does this occur?\r<BR>\n" );
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document.write( "Can you please help ? Thank you very much  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518378 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=518378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28x%29+ ALIGN=MIDDLE  ALT=\"+sin%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > varies between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+ ALIGN=MIDDLE  ALT=\"+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, the maximum that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2Asin%28x%29+%2B+q+ ALIGN=MIDDLE  ALT=\"+a%2Asin%28x%29+%2B+q+\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2A1+%2B+q+=+a+%2B+q+ ALIGN=MIDDLE  ALT=\"+a%2A1+%2B+q+=+a+%2B+q+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This occurs when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+4n+%2B+1+%29%2A%28+pi%2F2+%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+4n+%2B+1+%29%2A%28+pi%2F2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where n = 0,1,2,3,4, . . .<BR>\n" );
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document.write( "The minimum that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2Asin%28x%29+%2B+q+ ALIGN=MIDDLE  ALT=\"+a%2Asin%28x%29+%2B+q+\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2A%28-1%29+%2B+q+=+-a+%2B+q+ ALIGN=MIDDLE  ALT=\"+a%2A%28-1%29+%2B+q+=+-a+%2B+q+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This occurs when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+4n+%2B+3+%29%2A%28+pi%2F2+%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+4n+%2B+3+%29%2A%28+pi%2F2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where n = 0,1,2,3,4, . . .<BR>\n" );
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