Describe the end behavior of the polynomial function: P(x) = x(x^2 − 4)

Question

Describe the end behavior of the polynomial function: P(x) = x(x² − 4)

End behavior:

y → _________ as x → infinity

y → _________ as x → negative infinity

Answer 1

This is a cubic polynomial x^3 -4x

The end behavior will be determined by the term with the highest power which for this equation is x^3

So as x gets function gets larger( approaches + infinity ) and as x gets more negative the function becomes more negative (approaches - infinity)