document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151304>Question 1151304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To celebrate his birth, Damien's parents planted a tree in their yard. The tree's growth each year, in feet, can be modeled by the equation  f(x)=2.5x+4. The tree is expected to reach full height when Damien is 18 years old. Interpret the values in the function to answer the given questions.\r<BR>\n" );
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document.write( "What was the height of the tree in feet when it was planted?<BR>\n" );
document.write( "How tall will with tree be in feet when Damien is 18 years old?<BR>\n" );
document.write( "What is the domain for the function?<BR>\n" );
document.write( "What is the range for the function? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773009 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
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document.write( "To celebrate his birth, Damien's parents planted a tree in their yard. The tree's growth each year, in feet, can be modeled by the equation f(x)=2.5x+4. The tree is expected to reach full height when Damien is 18 years old. Interpret the values in the function to answer the given questions.<BR>\n" );
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document.write( "<font color=blue>What was the height of the tree in feet when it was planted?</font><BR>\n" );
document.write( "Answer: 4 feet\r<BR>\n" );
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document.write( "To get this answer, plug in x = 0.<BR>\n" );
document.write( "f(x) = 2.5*x + 4<BR>\n" );
document.write( "f(0) = 2.5*0 + 4<BR>\n" );
document.write( "f(0) = 0 + 4<BR>\n" );
document.write( "f(0) = 4<BR>\n" );
document.write( "The input x = 0 leads to y = f(x) = 4.\r<BR>\n" );
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document.write( "<font color=blue>How tall will with tree be in feet when Damien is 18 years old?</font>\r<BR>\n" );
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document.write( "Answer: 49 feet\r<BR>\n" );
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document.write( "Now plug in x = 18<BR>\n" );
document.write( "f(x) = 2.5*x + 4<BR>\n" );
document.write( "f(18) = 2.5*18 + 4<BR>\n" );
document.write( "f(18) = 45 + 4<BR>\n" );
document.write( "f(18) = 49\r<BR>\n" );
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document.write( "<font color=blue>What is the domain for the function?</font>\r<BR>\n" );
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document.write( "The domain is the set of real numbers x such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C=+x+%3C=+18 ALIGN=MIDDLE  ALT=\"0+%3C=+x+%3C=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Which can be described as \"the set of numbers between 0 and 18 inclusive of both endpoints\". We stop at x = 18 because the tree reaches its full height at this point. We have x = 0 as the lower boundary because negative year values do not make sense.\r<BR>\n" );
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document.write( "The domain in interval notation is [0, 18]. The square brackets tell the reader \"include the endpoints\".<BR>\n" );
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document.write( "<font color=blue>What is the range for the function?</font>\r<BR>\n" );
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document.write( "The range is a similar story: The range is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C=+y+%3C=+49 ALIGN=MIDDLE  ALT=\"0+%3C=+y+%3C=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" > which in interval notation would be [0, 49]. The smallest the tree can get is 0 ft, and the largest it can be is 49 feet.<BR>\n" );
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