Graphing Rational Functions (Including Holes)
10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.
Sample: the first question, solved
Describe the graph of f(x)=1/(x+3) near its vertical asymptote (x=−3).
📘 Worked solution
✓As x→−3⁺, f(x)→+∞; as x→−3⁻, f(x)→−∞ — two separate branches, matching the pattern of 1/x shifted left.
And one from the hard end
Find the x-intercept of f(x)=(x−4)/(x+1).
Solution shown after you try it in practice mode.
Work through all 10, easiest to hardest
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