Question 874172
To graph any equation, you need a set of points to plot. The more points you have, the more accurate the graph is.


To plot a point, we need the x and y coordinates of it. So if x = 0 for instance, then y is...


y = 5(2)^x
y = 5(2)^0 ... replace x with 0
y = 5*1
y = 5


If x = 0, then y = 5 leading to the point (0,5). This point lies on the curve.


Now if x = 1, then...


y = 5(2)^x
y = 5(2)^1 ... replace x with 1
y = 5*2
y = 10


If x = 1, then y = 10 leading to the point (1,10). This point lies on the curve as well.



Do this for other various values of x (x = 2, 3, 4, etc etc) to get corresponding paired values of y.


You will get this table


<table border=1>
  <tr>
    <th>x</th>
    <th>y</th>
  </tr>
  <tr>
    <td>0</td>
    <td>5</td>
  </tr>
  <tr>
    <td>1</td>
    <td>10</td>
  </tr>
  <tr>
    <td>2</td>
    <td>20</td>
  </tr>
  <tr>
    <td>3</td>
    <td>40</td>
  </tr>
  <tr>
    <td>4</td>
    <td>80</td>
  </tr>
  <tr>
    <td>5</td>
    <td>160</td>
  </tr>
</table>


To read this table, you just pick a row and read off the values in it in the form (x,y). Example: Pick on row 5. That has x = 5 and y = 160. So the point (5,160) lies on the curve.


Once you have enough points (the more points, the more accurate the curve is drawn), you draw a curve through them all to complete the graph.