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Question 181940: plot the graphs of the following functions:
1. f(x) = 5^x
2. f(x) = 4^x+2
3. f(x) = (1/3)^x
4. f(x) = log of x to the base of 5
could u please show me on graphs for at least two of them. thank you so much
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! To graph ANY function, simply follow this basic routine:
1) Plug in any x value to find it's corresponding function value (or y value). This gives you an ordered pair (x,y)
2) Plot the points that you calculated from step 1
3) Draw a smooth connected through ALL of the points that you plotted in step 2
I'll do the first two to get you started. The other two follow the same basic outline.
# 1
In order to graph  , we need to plot a few points.
 Start with the given equation.
 Plug in  (note: you can start at any x-value).
 Raise 5 to the -2nd power to get  .
So when ,  . So we have the point (-2,0.04).
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Start with the given equation.
 Plug in  .
 Raise 5 to the -1st power to get  .
So when ,  . So we have the point (-1,0.2).
----------------------------
Start with the given equation.
 Plug in  .
 Raise 5 to the 0th power to get  .
So when ,  . So we have the point (0,1).
----------------------------
Start with the given equation.
 Plug in  .
 Raise 5 to the 1st power to get  .
So when ,  . So we have the point (1,5).
----------------------------
Now let's make a table of the values we just found.
Table of Values:
Now let's plot the points:
Graph:
Now draw a curve through all of the points to graph :
 Graph of
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# 2
In order to graph  , we need to plot a few points.
 Start with the given equation.
 Plug in  (note: you can start at any x-value).
 Add.
 Raise 4 to the -2nd power to get  .
So when ,  . So we have the point (-4,0.063).
----------------------------
Start with the given equation.
 Plug in  .
 Add.
 Raise 4 to the -1st power to get  .
So when ,  . So we have the point (-3,0.25).
----------------------------
Start with the given equation.
 Plug in .
 Add.
 Raise 4 to the 0th power to get .
So when , . So we have the point (-2,1).
----------------------------
Start with the given equation.
 Plug in .
 Add.
 Raise 4 to the 1st power to get  .
So when ,  . So we have the point (-1,4).
----------------------------
Now let's make a table of the values we just found.
Table of Values:
Now let's plot the points:
Graph:
Now draw a curve through all of the points to graph :
 Graph of
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