SOLUTION: Please show work. Consider the function f(x)=x^5-x^3 a Determine the behaviors as x→∞ and as x→-∞ b Find all zeros. What is the multiplicity of roo

Algebra.Com
Question 1019897: Please show work.
Consider the function
f(x)=x^5-x^3
a Determine the behaviors as x→∞ and as x→-∞
b Find all zeros. What is the multiplicity of roots (zeros)?
c When will the function cross the x-axis? When will it cross the y-axis?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi 

f(x)=x^5-x^3 = x^3(x^2 - 1) = x^3(x-1)(x+1)





 

RELATED QUESTIONS


Please show all work.	

Consider the function 


f(x)=x^5-x^3
a	Determine the... (answered by stanbon)

	Please show work
Consider the function 
f(x)=x^5-x^3
	Determine the behaviors as... (answered by Fombitz)

	Consider the function 
f(x)=x^5-x^3
	Determine the behaviors as x→∞  and... (answered by solver91311)

I am very confused with the end behavior of a Polynomial. Someone please help me with... (answered by richard1234)

What is true for the following graph?
Graph: http://postimg.org/image/qqy51c057/ 

I.... (answered by Boreal)

For the function f(x) = -log(x) + 4, as x →∞, y→ _____.
Question 5... (answered by MathLover1)

Choose the correct description of the end behavior of the function y = 0.5x
	
A)
As x... (answered by richard1234)

For the function f(x) = -4-x + 5, if x→∞, then y → ____.
Question 6... (answered by MathLover1)

If f(x) → 2 as X → ∞ then f has a horizontal asymptote. TRUE OR... (answered by ikleyn)