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. 3. f

Algebra.Com
Question 156295: 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.

3. f(x) = 2x3 + 7x2 - x - 1


Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
# 3

Let's find the function value when :


Start with the given equation.


Plug in .


Cube to get .


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 .


Cube to get .


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 .


Cube to get .


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 .


Cube to get .


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 .


Cube to get .


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.



Table of Values:





xy
17


241


4235


81463


169967


Since this polynomial is a cubic, this tells us that the rate of growth is cubic growth. This growth rate is larger than quadratic growth.

RELATED QUESTIONS

Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the... (answered by jim_thompson5910)
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the... (answered by jim_thompson5910)
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the... (answered by stanbon)
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the... (answered by jim_thompson5910)
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the... (answered by nabla)
Please help me Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16.... (answered by vleith)
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the... (answered by jim_thompson5910)
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the... (answered by nabla)
Please help me Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16.... (answered by Edwin McCravy)