document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090262>Question 1090262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are and HOW would I find the x and y intercepts, domain and range, and graph of y=sinx, -2pi less than or equal to x less than or equal to positive 2pi \r<BR>\n" );
document.write( "\n" );
document.write( "I don't have the symbols with the equal to sign included but to verify the equation is : y=sinx, -2pi < x < 2pi  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704712 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704712\">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=sin%28x%29+ ALIGN=MIDDLE  ALT=\"+y=sin%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2pi+%3C=+x+%3C=+2pi+ ALIGN=MIDDLE  ALT=\"+-2pi+%3C=+x+%3C=+2pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The domain is the possible x values and is specified as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2pi+%3C=+x+%3C=+2pi+ ALIGN=MIDDLE  ALT=\"+-2pi+%3C=+x+%3C=+2pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ( without qualifications, the domain of \"sin(x)\" is all real x values, however,  some will say this problem is <em>domain restricted</em> to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2pi+%3C=+x+%3C=+2pi+ ALIGN=MIDDLE  ALT=\"-2pi+%3C=+x+%3C=+2pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "The range is all the values y can take on for values of x in its domain.  Since y=sin(x) can only take on values between -1 and 1 inclusive, the range is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+%3C=+y+%3C=+1+ ALIGN=MIDDLE  ALT=\"+-1+%3C=+y+%3C=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "—\r<BR>\n" );
document.write( "\n" );
document.write( "The y intercept is found by setting x=0:   y = sin(0) = 0<BR>\n" );
document.write( "    y intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%280%29+ ALIGN=MIDDLE  ALT=\"+highlight%280%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "—<BR>\n" );
document.write( "The x intercept(s) are found by setting y=0:   0 = sin(x)<BR>\n" );
document.write( "Where does sin(x) = 0?    \r<BR>\n" );
document.write( "\n" );
document.write( "At <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=0+ ALIGN=MIDDLE  ALT=\"+x=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=-pi+ ALIGN=MIDDLE  ALT=\"+x=-pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=-2pi ALIGN=MIDDLE  ALT=\"+x=-2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=pi ALIGN=MIDDLE  ALT=\"+x=pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=2pi+ ALIGN=MIDDLE  ALT=\"+x=2pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x intercepts are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x=0%29+ ALIGN=MIDDLE  ALT=\"+highlight%28x=0%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x=-pi%29+ ALIGN=MIDDLE  ALT=\"+highlight%28x=-pi%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x=-2pi%29 ALIGN=MIDDLE  ALT=\"+highlight%28x=-2pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x=pi%29 ALIGN=MIDDLE  ALT=\"+highlight%28x=pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x=2pi%29+ ALIGN=MIDDLE  ALT=\"+highlight%28x=2pi%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "—<BR>\n" );
document.write( "—\r<BR>\n" );
document.write( "\n" );
document.write( "A graph may help with the visualization:<BR>\n" );
document.write( "—\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%0D%0A++graph%28+300%2C+300%2C+-6.283%2C+6.283%2C+-2%2C+2%2C+sin%28x%29+%29%0D%0A%0D%0A ALIGN=MIDDLE  ALT=\"+%0D%0A++graph%28+300%2C+300%2C+-6.283%2C+6.283%2C+-2%2C+2%2C+sin%28x%29+%29%0D%0A%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );