Graph polynomial functions using zeros, factorizations, and end behavior.
Inventory polynomial graph features from factored form
Problem
For \(f(x)~=~2(x~+~3)^2(x~-~1)(x~-~4)\), list each real zero with its multiplicity and crossing or touching behavior, state the degree and leading coefficient, compute the \(y\text{-}\text{intercept}\), and describe \(\text{both}~\text{ends}\).
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