document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=889661>Question 889661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following functions are even?<BR>\n" );
document.write( "I   3y=(x^4)+x<BR>\n" );
document.write( "II  y= abs(x-2)         *abs= absolute value<BR>\n" );
document.write( "III (e^x^2)-1\r<BR>\n" );
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document.write( "This is a multiple choice question, the answer choices being,<BR>\n" );
document.write( "a. I only<BR>\n" );
document.write( "b. II only<BR>\n" );
document.write( "c. III only<BR>\n" );
document.write( "d. II and III<BR>\n" );
document.write( "e. I,II, and III\r<BR>\n" );
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document.write( "using my graphing calculator I got I and III which is not an answer but algebraically I got III only, is this correct? Thank you so much for your time and help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538587 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=538587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For an even function, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=f%28-x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=f%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=x%5E4%2Bx ALIGN=MIDDLE  ALT=\"3y=x%5E4%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%281%2F3%29%28x%5E4%2Bx%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%281%2F3%29%28x%5E4%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-x%29=%281%2F3%29%28x%5E4-x%29 ALIGN=MIDDLE  ALT=\"f%28-x%29=%281%2F3%29%28x%5E4-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So I is not an even function.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%281%2F3%29%28x%5E4%2Bx%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%281%2F3%29%28x%5E4%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "II. I assume you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=abs%28x-2%29%2Aabs%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=abs%28x-2%29%2Aabs%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-x%29=abs%28-x-2%29%2Aabs%28-x%29 ALIGN=MIDDLE  ALT=\"f%28-x%29=abs%28-x-2%29%2Aabs%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Although <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29=abs%28-x%29 ALIGN=MIDDLE  ALT=\"abs%28x%29=abs%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it's not the case that,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28-x-2%29=abs%28x-2%29 ALIGN=MIDDLE  ALT=\"abs%28-x-2%29=abs%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So II is not an even function. <BR>\n" );
document.write( "It is symmetric but not about the y-axis but about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cabs%28x-2%29%2Aabs%28x%29%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cabs%28x-2%29%2Aabs%28x%29%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "III. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=e%5E%28x%5E2%29-1 ALIGN=MIDDLE  ALT=\"f%28x%29=e%5E%28x%5E2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-x%29=e%5E%28x%5E2%29-1 ALIGN=MIDDLE  ALT=\"f%28-x%29=e%5E%28x%5E2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So III is an even function.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Ce%5E%28x%5E2%29-1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Ce%5E%28x%5E2%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "The solution is c.<BR>\n" );
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