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Grade 11 · Precalculus

Polynomial & rational functions

160 problems in this skill, each with a solver-verified answer key. Answers are checked the moment you submit — with a hint if you want one and a worked solution afterwards.

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

  1. Warm-up

    For the rational function f(x)=4x−3+6f(x) = \dfrac{4}{x - 3} + 6, give the value of xx excluded from the domain (the vertical asymptote) and the yy-value of the horizontal asymptote.

  2. Warm-up

    For the rational function f(x)=8x−2+1f(x) = \dfrac{8}{x - 2} + 1, give the value of xx excluded from the domain (the vertical asymptote) and the yy-value of the horizontal asymptote.

  3. Warm-up

    For the rational function f(x)=8x−5+9f(x) = \dfrac{8}{x - 5} + 9, give the value of xx excluded from the domain (the vertical asymptote) and the yy-value of the horizontal asymptote.

Problems shown under their original terms: Generated (template, solver-computed).

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