document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042528>Question 1042528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Provide two different sketches that satisfy the conditions described below.\r<BR>\n" );
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document.write( "a) Three cycles of a trigonometric function with a period of 10 and amplitude of 3. The domain of the function is -10 &#8804; x  &#8804;20, xER. State the following key features for the function: range, intercepts, maximum/minimum values, sinusoidal axis of symmetry.\r<BR>\n" );
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document.write( "Thanks :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657629 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=657629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function must be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+3%2Asin%28+%28+2%2Api%2Ax+%29%2F10+%29+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+3%2Asin%28+%28+2%2Api%2Ax+%29%2F10+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When x = 10, 20, 30, etc<BR>\n" );
document.write( " ( 2*pi*x )/10 = 2pi, 4pi, 6pi, etc.<BR>\n" );
document.write( "and these are periods of the sin<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+20%2C+-3%2C+3%2C+3%2Asin%28+%282%2Api%2Ax%2F10%29+%29+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-10%2C+20%2C+-3%2C+3%2C+3%2Asin%28+%282%2Api%2Ax%2F10%29+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The range is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+%3C=+f%28x%29+%3C=+3+ ALIGN=MIDDLE  ALT=\"+-3+%3C=+f%28x%29+%3C=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The x-intercepts are:<BR>\n" );
document.write( "-10, -5, 0, 5, 10, 15, 20<BR>\n" );
document.write( "The y-intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+0+ ALIGN=MIDDLE  ALT=\"+y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "The maximums are at:<BR>\n" );
document.write( "( -7.5, 3 )<BR>\n" );
document.write( "( 2.5, 3 )<BR>\n" );
document.write( "( 12.5, 3 )  <BR>\n" );
document.write( "The minimums are at:<BR>\n" );
document.write( "( -5, -3 )<BR>\n" );
document.write( "( 5, -3 )<BR>\n" );
document.write( "( 15, -3 )<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "The sine function is an odd function which <BR>\n" );
document.write( "means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28+-x+%29+=+-f%28x%29+ ALIGN=MIDDLE  ALT=\"+f%28+-x+%29+=+-f%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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