document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=961689>Question 961689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe each of the following graphs of y. Give (a) its amplitude (if applicable), (b) its maximum and minimum (if applicable) a (c) its period. If it has no amplitude, maximum, or minimum, write \"none\". \r<BR>\n" );
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document.write( "y=tan3x\r<BR>\n" );
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document.write( "y=3sin1/2x\r<BR>\n" );
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document.write( "For the first one I know that the formula used is y=tanBx and b=3 and the period is pi/b=pi/3 So its amplitude is none and its period is pi/3 (I think) As for its maximum and minimum, I'm not completely sure.\r<BR>\n" );
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document.write( "For the second one, I know that the formula is y=AsinBx a=3, b=1/2, period=2pi/1/2 so its amplitude is 3 and its period is 2pi/1/2 (I think). As for its maximum and minimum that's where I am stuck again.\r<BR>\n" );
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document.write( "I would appreciate the help. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #587614 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=587614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=tan%283x%29 ALIGN=MIDDLE  ALT=\"y=tan%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Period is correct.<BR>\n" );
document.write( "I'm assuming the amplitude is the multiplier in front of the tangent function and not the amplitude of the tangent function itseld since it's unbounded.<BR>\n" );
document.write( "Amplitude is the multiplier in front of the function which is 1.<BR>\n" );
document.write( "Minimum and maximum are undefined since the tangent function ranges <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3sin%28x%2F2%29 ALIGN=MIDDLE  ALT=\"y=3sin%28x%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Period is correct but not simplified.<BR>\n" );
document.write( "It works out to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi ALIGN=MIDDLE  ALT=\"4pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Amplitude is correct. <BR>\n" );
document.write( "Since the sine function value ranges from -1 to 1, the minimum and maximum range from -3 to 3.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=des2.JPG\">.<BR>\n" );
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