SOLUTION: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation;

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Question 211246: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Use the resulting ordered pairs to plot the graph of each function.
So for this problem there will be two lines on one graph? How do I plot the points? I'm really lost on this one and any help would be appreciated. I'd also be willing to pay a tutor for help on this! Please contact me if interested! Thanks.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Well it helps to have the entire problem. What is the given function?


If you're having problems graphing in general, here's an example:


Problem: Graph


Solution:



In order to graph , we need to plot a few points.


To get points in the form of (x,y), we need to find corresponding 'y' values to given 'x' values.


Let's find the y value when note: you can start at any x value.


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (-2,0.25).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (-1.5,0.354).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (-1,0.5).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (-0.5,0.707).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (0.5,1.414).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (1,2).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (1.5,2.828).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (2,4).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (2.5,5.657).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate to get


So if , then which gives us the point (3,8).


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


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


Table of Values:





xy
-20.25


-1.50.354


-10.5


-0.50.707


0.51.414


12


1.52.828


24


2.55.657


38

Now let's plot the points:




Graph:


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


Graph of
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