Graph polynomial functions using zeros, factorizations, and end behavior.
Find the y-intercept of a polynomial from its equation
Problem
What is the \(y\text{-}\text{intercept}\) of \(f(x)=(x-2)(x+3)\)?
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What this problem is really about
A y-intercept is an output question, not a zero question: every point on the vertical axis has input zero. Substitute zero into the entire polynomial, preserve the signs in every factor, and simplify the resulting product. Then report the value as an ordered pair whose first coordinate is zero.
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