MHF4U · Advanced Functions, University Preparation tutoring
One-to-one MHF4U tutoring for Grade 12 students following the Ontario curriculum. Bring your course outline and a question you found difficult: we connect the underlying ideas, show a method and help you practise it independently.
Advanced Functions, University Preparation (MHF4U) is listed in Ontario’s course catalogue at Grade 12. Ask your school for the current course outline and assessment expectations, then share them with your tutor.
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MHF4U: topics to discuss
Polynomial and rational functions; exponential and logarithmic functions; trigonometric functions; combining functions. Connect zeros, asymptotes, transformations and domain restrictions to a graph before solving. Compare two representations of the same function and explain which is useful for the question. Confirm the current topic sequence and full coverage using your school’s outline and the official source below.
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Building confidence in math
Connect each algebraic rule to its graph and domain. Roots, intercepts and turning points answer different questions. State restrictions before simplifying an expression. Lessons can alternate a modelled example, a question attempted together and an independent attempt so the tutor can see where understanding changes.
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Use school feedback to guide revision
Bring a recent question, marked solution or topic checklist. Explain where you got stuck. The next practice task should check that particular skill before introducing more complexity. Tutoring supports learning; assessed submissions remain the student’s own work.
Understand it. Try it. Review it.
Put your math learning into practice.
Worked example · Functions, quadratics and transformations
Find the roots of x^2 - 5x + 6 = 0.
Find two numbers whose product is 6 and sum is -5: -2 and -3.
Factor: (x - 2)(x - 3) = 0.
Set each factor to zero: x = 2 or x = 3.
Common mistakes to check
Treating f(x) as multiplication
Cancelling terms without recording excluded values
Preview the worksheet 