document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142437>Question 142437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Answer the following questions for the function f(x)=x^8-3x^5+22<BR>\n" );
document.write( "What is the maximum number of zeros that the function can have?\r<BR>\n" );
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document.write( "What is the maximum number of x intercepts that the function can have?\r<BR>\n" );
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document.write( "What is the maximum number of turning points that the function can have?\r<BR>\n" );
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document.write( "Much Thanks for all of your help tutor/ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103745 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the function is degree 8, it has exactly 8 zeros.  It has a maximum of 8 real zeros.  The function will have an x-intercept corresponding to every real zero, so it has a maximum of 8 x-intercepts.  A polynomial function of degree n has at most n - 1 turning points, so 8 - 1 = 7 turning points, maximum.  </SPAN>\n" );
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