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 ->  Functions -> 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      Log On


   

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) About Me  (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)