document.write( "Question 150436: Plot the graph of the following function
\n" ); document.write( "f(x) = 4^x-3 \n" ); document.write( "

Algebra.Com's Answer #110404 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Table of Contents:
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\n" ); document.write( "\n" ); document.write( "In order to graph $\"y=4%5E%28x-3%29\"$ , 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 $\"x=0\"$ note: you can start at any x value. \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%280-3%29\"$ Plug in $\"x=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28-3%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F4%5E3\"$ Rewrite $\"4%5E%28-3%29\"$ as $\"1%2F4%5E3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F64\"$ Evaluate $\"4%5E3\"$ to get $\"64\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=0.016\"$ Divide and simplify.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , $\"y=0.016\"$ . So we have the point (0,0.016).\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( " $\"y=4%5E%28x-3%29\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%281-3%29\"$ Plug in $\"x=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28-2%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F4%5E2\"$ Rewrite $\"4%5E%28-2%29\"$ as $\"1%2F4%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F16\"$ Evaluate $\"4%5E2\"$ to get $\"16\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=0.063\"$ Divide and simplify.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , $\"y=0.063\"$ . So we have the point (1,0.063).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%282-3%29\"$ Plug in $\"x=2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28-1%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F4%5E1\"$ Rewrite $\"4%5E%28-1%29\"$ as $\"1%2F4%5E1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F4\"$ Evaluate $\"4%5E1\"$ to get $\"4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=0.25\"$ Divide and simplify.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , $\"y=0.25\"$ . So we have the point (2,0.25).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%283-3%29\"$ Plug in $\"x=3\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%280%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1\"$ Evaluate $\"4%5E0\"$ to get $\"1\"$ \r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=3\"$ , $\"y=1\"$ . So we have the point (3,1).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%284-3%29\"$ Plug in $\"x=4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%281%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4\"$ Evaluate $\"4%5E1\"$ to get $\"4\"$ \r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=4\"$ , $\"y=4\"$ . So we have the point (4,4).\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: 0\r\n" );
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document.write( "x y
0 0.016
1 0.063
2 0.25
3 1
4 4\r\n" );
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Graph:

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Graph of $\"y=4%5E%28x-3%29\"$ \n" ); document.write( "

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