SOLUTION: graph y=6^x-5

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Is the equation ?


Table of Contents:

Table
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 (-1,-4.833).


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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,-4).


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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 (1,1).


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





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Table of Values:

x
y
-1
-4.833
0
-4
1
1

Now let's plot the points:







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Graph:

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


Graph of

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Or....

Is the equation ??




Table of Contents:

Table
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 (3,0.028).


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


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 (4,0.167).


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


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 (5,1).


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


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 (6,6).


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


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





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Table of Values:

x
y
3
0.028
4
0.167
5
1
6
6

Now let's plot the points:







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Graph:

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


Graph of