Advanced Functions (MHF4U) · Rational Functions

Vertical and Horizontal Asymptotes

30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.

Start the 30 questions Curriculum: MHF4U-RF.2

Sample: the first question, solved

Find the vertical asymptote of f(x)=1/(x−7).

📘 Worked solution
Setting the denominator to zero and solving gives x=7.

And one from the hard end

"For f(x)=(2x²−3x−5)/(x²−1), find all vertical asymptotes, the horizontal asymptote, and any holes."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

Your Winny Score tracks you as the questions ramp up. Stuck on one? A real Winny Math tutor will walk you through it. First lesson free.

Start practicing