document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175279>Question 1175279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The “int()” operator in your calculator is the “greatest integer function.” It returns the<BR>\n" );
document.write( "greatest integer less than or equal to the operand and is written using square brackets: [x]<BR>\n" );
document.write( "or [[x]]. For example, it would give back 82 for [[82.976]].<BR>\n" );
document.write( "In Smalltown, AZ the students receive grade points as follows:<BR>\n" );
document.write( "4.0 for any grade 90% or higher. [90,100)<BR>\n" );
document.write( "3.0 for any grade 80% or higher. [80,90)<BR>\n" );
document.write( "2.0 for any grade 70% or higher. [70,80)<BR>\n" );
document.write( "1.0 for any grade 60% or higher. [60,70)<BR>\n" );
document.write( "(Notice: students NEVER fail! And students never get 100%!)<BR>\n" );
document.write( "A. Write a function that correctly returns grade points for gradesfrom 60% to 100%. (78.45<BR>\n" );
document.write( "should give a 2.0). Is your function even, odd, or neither?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801089 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you would use a piecewise function to solve this.\r<BR>\n" );
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document.write( "if you let x equal the grade received, then your piecewise function would be:\r<BR>\n" );
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document.write( "f(x) = 4 if x = int(90)<BR>\n" );
document.write( "f(x) = 3 if x = int(80)<BR>\n" );
document.write( "f(x) = 2 if x = int(70)<BR>\n" );
document.write( "f(x) = 1 if x = int(60)\r<BR>\n" );
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document.write( "as stated in the problem, x could never be 100 and x could never be less than 60 because a grade less than 60 would mean failing.\r<BR>\n" );
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document.write( "some examples:\r<BR>\n" );
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document.write( "if you got a 97.5, int(x) would be 90 and your grade would be 4.<BR>\n" );
document.write( "if you got an 89.999999999, int(x) would be 80 and your grade would be 3.<BR>\n" );
document.write( "if you got a 70, int(x) would be 70 and your grade would be 2.<BR>\n" );
document.write( "if you got 60.000000000001, int(x) would be 60 and your grade would be 1.\r<BR>\n" );
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document.write( "if you want to use the square brackets to indicate the int function, then it would look like this.\r<BR>\n" );
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document.write( "f(x) = 4 if [x] = 90<BR>\n" );
document.write( "f(x) = 3 if [x] = 80<BR>\n" );
document.write( "f(x) = 2 if [x] = 70<BR>\n" );
document.write( "f(x) = 1 if [x] = 60\r<BR>\n" );
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