SOLUTION: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. 1. f(x) =

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Question 156293: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
1. f(x) = 5x - 3

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
# 1

Let's find the function value when :


Start with the given equation.


Plug in .


Multiply and to get .


Combine like terms.


So if , then .

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

Let's find the function value when :


Start with the given equation.


Plug in .


Multiply and to get .


Combine like terms.


So if , then .

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

Let's find the function value when :


Start with the given equation.


Plug in .


Multiply and to get .


Combine like terms.


So if , then .

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

Let's find the function value when :


Start with the given equation.


Plug in .


Multiply and to get .


Combine like terms.


So if , then .

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

Let's find the function value when :


Start with the given equation.


Plug in .


Multiply and to get .


Combine like terms.


So if , then .

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

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





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Table of Values:





xy
12


27


417


837


1677



Since this is a linear equation, this means that the equation experiences linear growth. This is considered moderate growth.

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