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. 2. f(x)

Question 156294: 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.
2. f(x) = x2 - 3x + 2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 2

Let's find the function value when :

Start with the given equation.

Plug in .

Square to get .

Multiply and to get .

Multiply and to get .

Combine like terms.

So if , then .

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Let's find the function value when :

Start with the given equation.

Plug in .

Square to get .

Multiply and to get .

Multiply and to get .

Combine like terms.

So if , then .

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

Let's find the function value when :

Start with the given equation.

Plug in .

Square to get .

Multiply and to get .

Multiply and to get .

Combine like terms.

So if , then .

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

Let's find the function value when :

Start with the given equation.

Plug in .

Square to get .

Multiply and to get .

Multiply and to get .

Combine like terms.

So if , then .

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

Let's find the function value when :

Start with the given equation.

Plug in .

Square to get .

Multiply and to get .

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:

Because the function is a quadratic, this means that the polynomial undergoes quadratic growth. This is faster than linear growth.

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