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Rational functions: domain, holes, and vertical asymptotes — Homework
Factor numerator and denominator completely before deciding hole versus asymptote.
- 1.Find the domain of f(x) = (x-6)/(x^2-36).
- 2.For f(x) = (x^2-16)/(x^2-2x-8), factor completely and identify any hole and any vertical asymptote.
- 3.Find the exact coordinates of the hole from the previous problem.
- 4.Explain why f(x) = (x+2)/(x^2+2x) has a hole at x=-2 rather than at x=0.
- 5.For g(x) = (x-7)/(x^2-49), state the domain, and identify the hole and the vertical asymptote.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 9 homework