document.write( "Question 110363: Sketch the graph of f(x) = 3^x \n" ); document.write( "

Algebra.Com's Answer #80427 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=3%5Ex\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=3%5E0\"$ Plug in $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=1\"$ Raise 3 to the zeroth power to get 1\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , $\"y=1\"$ . So our first point is (0,1)\r
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\n" ); document.write( "\n" ); document.write( "----Now lets find another point----
\n" ); document.write( " $\"f%281%29=3%5E1\"$ Plug in $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=3\"$ Raise 3 to the first power to get 3\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , $\"y=3\"$ . So our second point is (1,3)\r
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\n" ); document.write( "\n" ); document.write( "----Now lets find another point----
\n" ); document.write( " $\"f%282%29=3%5E2\"$ Plug in $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=9\"$ Raise 3 to the second power to get 9\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , $\"y=9\"$ . So our third point is (2,9)\r
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\n" ); document.write( "\n" ); document.write( "Now lets make a table of the values we have calculated\r
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document.write( " x y
 0 1
 1 3
 2 9\r\n" );
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Now plot the points\r
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\n" ); document.write( "\n" ); document.write( "Connect the points to form the graph $\"y=3%5Ex\"$ \r
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Graph of $\"y=3%5Ex\"$ through the points solved for earlier \n" ); document.write( "

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