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Horizontal and slant asymptotes — Homework
Compare degrees first to choose the right case, then divide only if a slant asymptote is called for.
- 1.State the horizontal asymptote of f(x) = (2x^2-3)/(x^2+1), and explain which case applies.
- 2.State the horizontal asymptote of f(x) = (5x+1)/(x^3-2).
- 3.Find the slant asymptote of h(x) = (x^2+3x-1)/(x+2) using division, and state its vertical asymptote.
- 4.Evaluate h(x) = (x^2+3x-1)/(x+2) at x=100, and compare it to the slant asymptote line y=x+1 at x=100.
- 5.Explain, without dividing, why f(x) = (4x^3+1)/(2x^3-x) has a horizontal asymptote instead of a slant one, and state it.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 10 homework