SOLUTION: Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 4x y = log4x (I have provided a link of the gra

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Question 181965: Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer.
y = 4x
y = log4x
(I have provided a link of the graph)
http://img8.imageshack.us/my.php?image=65511103jb5.png
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll graph the first function . This will point you to the right graph for the first one (and the second one by elimination). However, you can use the same techniques to get the graph of the second function.


Let's graph



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


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


Start with the given equation.


Plug in .


Evaluate the right side (with a calculator).


So when , . So we have the point (-2,0.063).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate the right side (with a calculator).


So when , . So we have the point (-1,0.25).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate the right side (with a calculator).


So when , . So we have the point (0,1).


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


Let's find the y value when


Start with the given equation.


Plug in .


Evaluate the right side (with a calculator).


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
-20.063


-10.25


01


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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