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) =

Algebra ->  Graphs -> 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) =      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

Let's find the function value when x=1:


y=5x-3 Start with the given equation.


y=5%281%29-3 Plug in x=1.


y=5-3 Multiply 5 and 1 to get 5.


y=2 Combine like terms.


So if x=1, then y=2.

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Let's find the function value when x=2:


y=5x-3 Start with the given equation.


y=5%282%29-3 Plug in x=2.


y=10-3 Multiply 5 and 2 to get 10.


y=7 Combine like terms.


So if x=2, then y=7.

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Let's find the function value when x=4:


y=5x-3 Start with the given equation.


y=5%284%29-3 Plug in x=4.


y=20-3 Multiply 5 and 4 to get 20.


y=17 Combine like terms.


So if x=4, then y=17.

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Let's find the function value when x=8:


y=5x-3 Start with the given equation.


y=5%288%29-3 Plug in x=8.


y=40-3 Multiply 5 and 8 to get 40.


y=37 Combine like terms.


So if x=8, then y=37.

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Let's find the function value when x=16:


y=5x-3 Start with the given equation.


y=5%2816%29-3 Plug in x=16.


y=80-3 Multiply 5 and 16 to get 80.


y=77 Combine like terms.


So if x=16, then y=77.

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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.