Question 150971
I've noticed that you've posted this before. Is there something that isn't making any sense? Well here's the original solution.



Table of Contents:
<a name="top">
<a href="#table">Table</a>

<a href="#graph">Graph</a>


In order to graph {{{y=5^x}}}, we need to plot a few points.



Let's find the y value when {{{x=-1}}} note: you can start at any x value. 



{{{y=5^x}}} Start with the given equation.



{{{y=5^-1}}} Plug in {{{x=-1}}}.



{{{y=0.2}}} Simplify.



So when {{{x=-1}}}, {{{y=0.2}}}. So we have the point (-1,0.2).



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Let's find the y value when {{{x=0}}}  



{{{y=5^x}}} Start with the given equation.



{{{y=5^0}}} Plug in {{{x=0}}}.



{{{y=1}}} Simplify.



So when {{{x=0}}}, {{{y=1}}}. So we have the point (0,1).



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Let's find the y value when {{{x=1}}}  



{{{y=5^x}}} Start with the given equation.



{{{y=5^1}}} Plug in {{{x=1}}}.



{{{y=5}}} Simplify.



So when {{{x=1}}}, {{{y=5}}}. So we have the point (1,5).



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Let's find the y value when {{{x=2}}}  



{{{y=5^x}}} Start with the given equation.



{{{y=5^2}}} Plug in {{{x=2}}}.



{{{y=25}}} Simplify.



So when {{{x=2}}}, {{{y=25}}}. So we have the point (2,25).



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Now let's make a table of the values we just found.



<a name="table">



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<h4>Table of Values:</h4><pre>

<TABLE border="1" width="100">
<TR><TD>x</TD><TD>y</TD></TR>TEST: -1
<tr><td>-1</td><td>0.2</td></tr>
<tr><td>0</td><td>1</td></tr>
<tr><td>1</td><td>5</td></tr>
<tr><td>2</td><td>25</td></tr>
</TABLE>

</pre>

Now let's plot the points:




<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/solution18-05-08.png" alt="Photobucket - Video and Image Hosting"



<a name="graph">



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<h4>Graph:</h4>

Now draw a curve through all of the points to graph {{{y=5^x}}}:



<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/solution28-05-08.png" alt="Photobucket - Video and Image Hosting"> Graph of {{{y=5^x}}}