Math  /  Algebra

QuestionFor the function f(x)=8(x1)(x+3)2f(x)=-8(x-1)(x+3)^{2}, find real zeros, their multiplicity, and graph behavior at xx-intercepts.

Studdy Solution
For a polynomial with an odd degree and a negative leading coefficient, as xx approaches positive infinity, f(x)f(x) approaches negative infinity, and as xx approaches negative infinity, f(x)f(x) approaches positive infinity.So, the end behavior of the function isAs x,f(x)x \to \infty, f(x) \to -\infty
As x,f(x)x \to -\infty, f(x) \to \infty

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