SOLUTION: graph y=6^x-5

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Question 151076: graph y=6^x-5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation y=6%5Ex-5?


Table of Contents:

Table
Graph

In order to graph y=6%5Ex-5, we need to plot a few points.


Let's find the y value when x=-1 note: you can start at any x value.


y=6%5Ex-5 Start with the given equation.


y=6%5E-1-5 Plug in x=-1.


y=-4.833 Evaluate the right side with a calculator.


So when x=-1, y=-4.833. So we have the point (-1,-4.833).


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Let's find the y value when x=0


y=6%5Ex-5 Start with the given equation.


y=6%5E0-5 Plug in x=0.


y=-4 Evaluate the right side with a calculator.


So when x=0, y=-4. So we have the point (0,-4).


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Let's find the y value when x=1


y=6%5Ex-5 Start with the given equation.


y=6%5E1-5 Plug in x=1.


y=1 Evaluate the right side with a calculator.


So when x=1, y=1. 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:





xy
-1-4.833


0-4


11

Now let's plot the points:







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Graph:


Now draw a curve through all of the points to graph y=6%5Ex-5:


Graph of y=6%5Ex-5




Or....

Is the equation y=6%5E%28x-5%29??




Table of Contents:

Table
Graph

In order to graph y=6%5E%28x-5%29, we need to plot a few points.


Let's find the y value when x=3 note: you can start at any x value.


y=6%5E%28x-5%29 Start with the given equation.


y=6%5E%283-5%29 Plug in x=3.


y=0.028 Evaluate the right side with a calculator.


So when x=3, y=0.028. So we have the point (3,0.028).


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Let's find the y value when x=4


y=6%5E%28x-5%29 Start with the given equation.


y=6%5E%284-5%29 Plug in x=4.


y=0.167 Evaluate the right side with a calculator.


So when x=4, y=0.167. So we have the point (4,0.167).


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Let's find the y value when x=5


y=6%5E%28x-5%29 Start with the given equation.


y=6%5E%285-5%29 Plug in x=5.


y=1 Evaluate the right side with a calculator.


So when x=5, y=1. So we have the point (5,1).


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


Let's find the y value when x=6


y=6%5E%28x-5%29 Start with the given equation.


y=6%5E%286-5%29 Plug in x=6.


y=6 Evaluate the right side with a calculator.


So when x=6, y=6. 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:





xy
30.028


40.167


51


66

Now let's plot the points:







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Graph:


Now draw a curve through all of the points to graph y=6%5E%28x-5%29:


Graph of y=6%5E%28x-5%29