SOLUTION: I need to sketch the graph of h(x)=x^3/x^2+1 and include all intercepts and asymptotes. The only thing I can figure out is that it has a slant asymptote since the power of the num

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I need to sketch the graph of h(x)=x^3/x^2+1 and include all intercepts and asymptotes. The only thing I can figure out is that it has a slant asymptote since the power of the num      Log On


   

Question 241717: I need to sketch the graph of h(x)=x^3/x^2+1 and include all intercepts and asymptotes. The only thing I can figure out is that it has a slant asymptote since the power of the numerator is one higher than the power of the denominator. Can anyone help me figure out how to work this out step by step?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
h(x)=x^3/x^2+1
f(x)=x+1
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x+%2B1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x +1).
Intercepts (X,Y)(-1,1)
OR:
h(x)=x^3/(x^2+1)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%5E3%2F%28x%5E2%2B1%29%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^3/(x^2+1)).
X intercepts (-1/2 to + 1/2,0)