Expert 1-on-1 online tutoring for Grade 12 Advanced Functions. We break down polynomial, rational, trig, exponential, and logarithmic functions so you can ace your tests and secure your university admission average.
MHF4U is the Ontario Grade 12 Advanced Functions course and a mandatory prerequisite for university-level mathematics. It deepens students' understanding of functions — moving well beyond MCR3U into rigorous analysis of polynomial, rational, exponential, logarithmic, and trigonometric functions.
This course is required before taking MCV4U (Calculus and Vectors), and is a prerequisite for virtually every math-heavy university program in Ontario — including engineering, computer science, life sciences, and commerce. A strong MHF4U grade is one of the most important transcript marks for competitive university admissions.
Many students find MHF4U demanding because it combines abstract reasoning with algebraic precision. Our PhD-led tutors help students build true conceptual understanding, not just formula memorization, so they're prepared for both MHF4U and the courses that follow.
Behaviour of polynomial functions, roots and factoring, end behaviour, and sketching from key features.
Vertical and horizontal asymptotes, holes in graphs, domain restrictions, and accurate curve sketching.
Trigonometric identities, solving trig equations, and constructing formal proofs using identities.
Exponential growth and decay models, compound interest applications, and transformations of exponential curves.
Laws of logarithms, solving logarithmic equations, and connecting logs to exponential inverses.
Past test walkthroughs, systematic error analysis, and targeted practice for the final exam.
Determining vertical asymptotes, holes, and horizontal asymptotes from a single rational expression trips up many students, especially when factors cancel.
Writing formal trig proofs requires both pattern recognition and algebraic creativity. Students often don't know where to start or which identity to apply first.
Many students memorize log laws without understanding why they work, leading to errors when problems combine multiple laws or switch between log and exponential form.
We assess exactly where you are in the MHF4U curriculum and build sessions around your specific weak points — no time wasted on topics you already know.
Our tutors hold advanced degrees in mathematics and science. They explain concepts from first principles so you build genuine understanding, not just memorized steps.
We work through past Ontario MHF4U tests, identify your error patterns, and make sure you walk into every assessment with confidence.
All sessions are delivered live over video call. Book evenings, weekends, or whenever fits your schedule. Available to students across all of Ontario.
per 60-minute 1-on-1 session
No contracts · No hidden fees
★ First 30-minute session is FREE