SOLUTION: I dont understand this question. it says to find the following (if they exist) and write them in proper manner: f(x)= -x^3 + x/x^2-4 it asks to find the domain which i have:

Question 589530: I dont understand this question. it says to find the following (if they exist) and write them in proper manner:
f(x)= -x^3 + x/x^2-4
it asks to find the domain which i have: (-infinity, -2)U (-2,2)U2,infinity)
x-intercepts:
y-intercepts:
hole(s):
vertical asymptotes:
horizontal asymptotes:
slant asymptote:
Graph
its alot for one question but thats the whole question :/
Answer by John10(297) (Show Source): You can put this solution on YOUR website!
f(x)= -x^3 + x/x^2-4
The domain: (-infinity,-2)U(-2,2)U(2,infinity) Good job!
x-intercepts: Set f(x) = 0 and solve for x
y-intercepts: Set x = 0 and solve for y
hole(s): set denominator to zero and find holes (hint: look at the domain)
vertical asymptotes: set denominator to be zero and solve for x
horizontal asymptotes: compare the degree of numerator and denominator
slant asymptote: Divide the numerator by the denominator
Graph: put all above parts on the graph and plot several points to graph your rational function.
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