What type of function is on this exercise

Question

f(x)= x⁴ - 2x³

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2 3

I need to find the domain, vertical asymptotes, horizontal asymptotes, etc..

I want to know th type o function

(x)(x^(4))/(2)-(2x^(3))/(3)

Answer 1

Assuming f(x) = (x⁴ / 2) - (2x² / 3)

The domain is all real numbers.

No asymptotes exist.

The function makes a W with zeros at 0, -2 / √3, and 2 / √3