SOLUTION: Graph the polynomial function: f(x)=x^3+4x^2+x-6 Thank you for your time and effort, it is greatly appreciated

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Question 148855: Graph the polynomial function:
f(x)=x^3+4x^2+x-6
Thank you for your time and effort, it is greatly appreciated
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Table of Contents:


Jump to Table
Jump to Graph


In order to graph , we need to plot some points.


Let's find y when
(Note: you can start with any x-value):


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 when , then .


So we have the point .


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


Let's find y 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 when , then .


So we have the point .


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


Let's find y 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 when , then .


So we have the point .


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


Let's find y 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 when , then .


So we have the point .


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


Let's find y 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 when , then .


So we have the point .


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


Let's find y 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 when , then .


So we have the point .


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





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


Table of Values:





xy
-30


-20


-1-4


0-6


10


220

Now let's plot the points:







Jump to Top of Page

Graph:


Now draw a curve through all of the points to graph :


Graph of
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