document.write( "Question 143189: Tutors I need your help!! I need to graph this function f(x) =5^x \n" ); document.write( "

Algebra.Com's Answer #104178 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=5%5Ex\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=5%5E%28-1%29\"$ Plug in $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=1%2F5\"$ Raise 5 to the negative first power to get $\"1%2F5\"$ or $\"0.2\"$ \r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , $\"y=0.2\"$ . So our first point is (-1,0.2)\r
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\n" ); document.write( "\n" ); document.write( "----Now lets find another point----\r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=5%5E0\"$ Plug in $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=1\"$ Raise 5 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 second point is (0,1)\r
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\n" ); document.write( "\n" ); document.write( "----Now lets find another point----
\n" ); document.write( " $\"f%281%29=5%5E1\"$ Plug in $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=5\"$ Raise 5 to the first power to get 5\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , $\"y=5\"$ . So our third point is (1,5)\r
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\n" ); document.write( "\n" ); document.write( "----Now lets find another point----
\n" ); document.write( " $\"f%282%29=5%5E2\"$ Plug in $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=25\"$ Raise 5 to the second power to get 25\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , $\"y=25\"$ . So our fourth point is (2,25)\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
 -1 0.2
 0 1
 1 5
 2 25\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 $\"y=5%5Ex\"$ \r
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Graph of $\"y=5%5Ex\"$ through the points solved for earlier \n" ); document.write( "

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