SOLUTION: 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

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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).


----------------------------


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:





xy
-20.04


-10.2


01


15

Now let's plot the points:




Graph:


Now draw a curve through all of the points to graph :


Graph of



================================================================

# 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:





xy
-40.063


-30.25


-21


-14

Now let's plot the points:




Graph:


Now draw a curve through all of the points to graph :


Graph of
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