document.write( "Question 150435: Plot the graph of the following function.\r
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Algebra.Com's Answer #110403 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "In order to graph $\"y=7%5Ex\"$ , we need to plot a few points.\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=-2\"$ note: you can start at any x value. \r
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\n" ); document.write( "\n" ); document.write( " $\"y=7%5Ex\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=7%5E-2\"$ Plug in $\"x=-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F7%5E2\"$ Rewrite $\"7%5E-2\"$ as $\"1%2F7%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F49\"$ Evaluate $\"7%5E2\"$ to get 49\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0.02\"$ Divide and simplify.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-2\"$ , $\"y=0.02\"$ . So we have the point (-2,0.02).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=7%5Ex\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=7%5E-1\"$ Plug in $\"x=-1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F7%5E1\"$ Rewrite $\"7%5E-1\"$ as $\"1%2F7%5E1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F7\"$ Evaluate $\"7%5E1\"$ to get 7\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0.143\"$ Divide and simplify.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-1\"$ , $\"y=0.143\"$ . So we have the point (-1,0.143).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=7%5Ex\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=7%5E0\"$ Plug in $\"x=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1\"$ Evaluate $\"7%5E0\"$ to get 1 \r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , $\"y=1\"$ . So we have the point (0,1).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=7%5Ex\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=7%5E1\"$ Plug in $\"x=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=7\"$ Evaluate $\"7%5E1\"$ to get 7 \r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , $\"y=7\"$ . So we have the point (1,7).\r
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\n" ); document.write( "\n" ); document.write( "Now let's make a table of the values we just found.\r
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Table of Values:

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document.write( "TEST: -2\r\n" );
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document.write( "x y
-2 0.02
-1 0.143
0 1
1 7\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now let's plot these points:\r
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Graph:

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\n" ); document.write( "\n" ); document.write( "Now draw a curve through all of the points to graph $\"y=7%5Ex\"$ :\r
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Graph of $\"y=7%5Ex\"$
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