Polynomial function transformation help

[Nelo]

Homework Statement

What is the difference between f(x)= x^3 , and g(x) = x^3 - x

What does that -x do to the function and how do you represent it graphically?

What about f(x) = 3x^3 +x

Homework Equations

The Attempt at a Solution

No idea, wolframalphad the graph but i don't get how to represent it or what it does to the graph.

Anyone help please??

 

[Nelo]

any1..?

 

[gb7nash]

Homework Statement

What is the difference between f(x)= x^3 , and g(x) = x^3 - x

There's a lot of differences. Are you just supposed to list all of the differences that you can find?

What does that -x do to the function and how do you represent it graphically?

This is also not worded very well. What does it do to f(x) how? As far as graphing it goes, just pick a few points and plug them in.

 

[Nelo]

Yes.. list the differences, I don't get it.

 

[Nelo]

So...

x^3 has points

-2 -8
-1 -1
0 0
1 1
2 8


So doing x^3 + x would be

-2 (-2)^3 + -2 = -10
-1 -2
0 0
1 2
2 10

I graphed it... looks almost exactly like a linear function, passes thru vertex to.. is taht right then?

 

[Nelo]

zzz, anyone?