AP Precalculus Quiz
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POLYNOMIAL AND RATIONAL FUNCTIONS
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A rational function is a quotient of two polynomials. For f(x)=x2−4x−2f(x)=\frac{x^2-4}{x-2}, zeros are found where the numerator equals zero while the denominator is nonzero. Vertical asymptotes occur at denominator zeros that do not cancel. Factoring x2−4=(x−2)(x+2)x^2-4=(x-2)(x+2) shows (x−2)(x-2) cancels, so f(x)=x+2f(x)=x+2 for x≠2x\ne2. The function is undefined at x=2x=2 (a hole) and has a zero at x=−2x=-2. Using the function provided, what are the zeros of f(x)=x2−4x−2f(x)=\frac{x^2-4}{x-2}?​
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