document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140124>Question 1140124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fill in Table A for the exponential function y=3^x Use the \"inverse property\" to fill in Table B. \r<BR>\n" );
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document.write( "Table A- (x)[-1,0,1,2] (y=3^x)[MUST FILL IN]  \r<BR>\n" );
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document.write( "Table B-(x)[MUST FILL IN] (inverse)[MUST FILL IN]\r<BR>\n" );
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document.write( "b. Plot the points from TABLE B t sketch a graph of the inverse\r<BR>\n" );
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document.write( "c. Use your graph from (b) to give the natural domain and range of the inverse<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 #760612 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=760612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 3^x<BR>\n" );
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document.write( "domain of this function is all real numbers, the function does not cross the x-axis, therefore there are no roots (x-intercepts)<BR>\n" );
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document.write( "here is a graph of the equation y = 3^x<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+2%2C+-1%2C+10%2C+3%5Ex%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+2%2C+-1%2C+10%2C+3%5Ex%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "the real solution for the inverse, interchange x and y and solve for y<BR>\n" );
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document.write( "x = 3^y<BR>\n" );
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document.write( "take the natural logarithm of both sides of =<BR>\n" );
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document.write( "ln(x) = y * ln(3)<BR>\n" );
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document.write( "y = ln(x)/ln(3)<BR>\n" );
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document.write( "f^(-1) (x) = ln(x)/ln(3) for x > 0<BR>\n" );
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document.write( "here is a graph of the inverse<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+500%2C+-2.731%2C+2.731%2C+-2.5%2C+1%2C+ln%28x%29%2Fln%283%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+500%2C+-2.731%2C+2.731%2C+-2.5%2C+1%2C+ln%28x%29%2Fln%283%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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