MHF4U Advanced Functions Tutoring
Ontario's most demanding pre-university math course — made systematic, one unit at a time.
What You'll Master in MHF4U
Polynomial Functions
End behaviour, turning points, factoring techniques, and sketching polynomial functions from their equations.
Rational Functions
Asymptotes, holes, domain restrictions, and graphing rational functions with sign analysis.
Exponential Functions
Transformations and applications of exponential functions, connecting back to MCR3U with greater depth.
Logarithmic Functions
The laws of logarithms, solving logarithmic and exponential equations, and applications such as doubling time.
Trigonometric Functions
Compound angle formulas, double-angle formulas, proving identities, and solving trigonometric equations.
Characteristics of Functions: Rate of Change
Average and instantaneous rates of change — the conceptual bridge into differential calculus.
Combining Functions
Adding, subtracting, multiplying, dividing, and composing functions, with domain considerations.
Who MHF4U Tutoring Is For
- Grade 12 students in the university stream taking MHF4U
- Students applying to STEM, business, or economics programs where MHF4U is an admission requirement
- Students who earned their MCR3U credit but feel gaps in functions and transformation skills
- Students who want thorough preparation for the final exam and for first-year university math
How We Teach MHF4U
Diagnose
A free assessment across MCR3U prerequisite skills and current MHF4U units reveals whether the problem is new content or old gaps.
Rebuild MCR3U foundations
We shore up the MCR3U skills the course leans on — transformations, exponent laws, trig ratios — before tackling new material.
Concept and proof practice
New concepts are taught through derivation and pattern, not memorization: why log laws work, how asymptotes appear, how identities are proven.
Exam and university-readiness simulation
Timed exam-style sets, past-test question types, and a full final review prepare students for both the exam and first-year university expectations.
MHF4U FAQs
Many do. Engineering, computer science, mathematics, physics, business, and economics programs typically require or strongly recommend MHF4U, and MCV4U Calculus and Vectors is usually taken alongside it. Check the admission requirements of specific programs — we help families plan the Grade 12 math pathway.
Most students name two: trigonometric identities and equations, and the rate-of-change unit that previews calculus. Both reward systematic practice over memorization, which is exactly how we teach them.
Passing MCR3U means the basics are there, but MHF4U moves faster and every unit assumes instant recall of transformations, exponent laws, and trig ratios. Small gaps that were survivable in Grade 11 become expensive in Grade 12. We start with a diagnostic to find and close them.
Yes — we run a full final-exam review covering polynomial, rational, exponential, logarithmic, and trigonometric functions, with timed practice and marking-style feedback so students know exactly where they stand.
Master MHF4U With Confidence
Book a free assessment and we'll build a personalized MHF4U plan around your child's school curriculum — no obligation.
Mon–Fri: 10:00 AM – 8:00 PM · Sat–Sun: Closed