Grade 12 · MHF4U · Advanced Functions · Available Now
MHF4U Practice Tests: Grade 12 Advanced Functions
MHF4U (Grade 12 Advanced Functions) is live on Martian Lab: 7 units of interactive lessons and 115 practice tests built from real Ontario tests. Unit reviews walk you through every concept with detailed, simple explanations before you attempt any practice tests.
Get startedWhat MHF4U Covers
MHF4U (Advanced Functions) builds on the foundations you learned in MCR3U. The Ontario curriculum for this course includes:
Polynomial Functions
Characteristics of polynomial functions, degree and end behaviour, families of polynomials, and graphing.
Polynomial Equations
Factoring polynomials, the remainder and factor theorems, solving polynomial equations, and polynomial inequalities.
Rational Functions
Properties of rational functions, asymptotes, solving rational equations, and graphing.
Trigonometric Ratios
Radian measure, special angles, the unit circle, and proving and applying trigonometric identities.
Trigonometric Functions
Graphing sinusoidal functions with transformations, amplitude, period and phase shift, and solving trigonometric equations.
Exponential & Logarithmic Functions
Properties of logarithms, solving exponential and logarithmic equations, and applications.
Combining Functions
Sums, differences, products, quotients, and composition of functions. Average and instantaneous rates of change, and an introduction to the concept of a limit.
Why MHF4U Is Challenging
Advanced Functions is widely considered one of the hardest courses in Ontario's Grade 12 math sequence. It moves faster than MCR3U, introduces more abstract concepts, and requires strong algebraic fluency. Many students who did well in Grade 11 Functions find themselves struggling for the first time in MHF4U. The best way to prepare is to practice with real tests and work through step-by-step solutions. That's exactly what Martian Lab gives you.
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Get startedAlso available: MCR3U (Grade 11 Functions) and MCV4U (Calculus and Vectors).