SOLUTION: Plot the graph of the following function. f(x) =7^x

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Question 150435: Plot the graph of the following function.
f(x) =7^x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Table of Contents:

Table
Graph

In order to graph y=7%5Ex, we need to plot a few points.


Let's find the y value when x=-2 note: you can start at any x value.


y=7%5Ex Start with the given equation.


y=7%5E-2 Plug in x=-2.



y=1%2F7%5E2 Rewrite 7%5E-2 as 1%2F7%5E2


y=1%2F49 Evaluate 7%5E2 to get 49


y=0.02 Divide and simplify.


So when x=-2, y=0.02. So we have the point (-2,0.02).


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Let's find the y value when x=-1


y=7%5Ex Start with the given equation.


y=7%5E-1 Plug in x=-1.


y=1%2F7%5E1 Rewrite 7%5E-1 as 1%2F7%5E1


y=1%2F7 Evaluate 7%5E1 to get 7


y=0.143 Divide and simplify.


So when x=-1, y=0.143. So we have the point (-1,0.143).


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Let's find the y value when x=0


y=7%5Ex Start with the given equation.


y=7%5E0 Plug in x=0.


y=1 Evaluate 7%5E0 to get 1


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


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Let's find the y value when x=1


y=7%5Ex Start with the given equation.


y=7%5E1 Plug in x=1.


y=7 Evaluate 7%5E1 to get 7


So when x=1, y=7. So we have the point (1,7).


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





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Table of Values:


TEST: -2



xy
-20.02


-10.143


01


17

Now let's plot these points:







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Graph:


Now draw a curve through all of the points to graph y=7%5Ex:


Graph of y=7%5Ex