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Mathematics · MHF4U · Grade 12

Advanced Functions

7 study packs. Choose a pack to open it. Each one has a Common Mistakes list, written questions with full solutions, a Boss Run game and a timed practice test with an answer key.

Pack 1

Characteristics of Functions

Notation, parent functions, even and odd, transformations, piecewise, combining functions and inverses.

  • 35 practice problems
  • 284-question Boss Run
  • 135 cue cards
  • 14 graphing questions
  • 75-min test
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Pack 2

Polynomial Functions

Power functions, end behaviour, factored form, dividing polynomials, remainder and factor theorems.

  • 26 written questions
  • 3 Boss Runs
  • 132 cue cards
  • 12 graphing questions
  • 60-min test
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Pack 3

Polynomial Equations & Inequalities

Solving polynomial equations, families of polynomials, and inequalities with interval tables.

  • 24 written questions
  • 2 Boss Runs
  • 103 cue cards
  • 10 graphing questions
  • 45-min test
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Pack 4

Rational Functions

Reciprocals, holes and asymptotes, rational equations and inequalities, and rates of change.

  • 28 written questions
  • 243-question Boss Run
  • 121 cue cards
  • 15 graphing questions
  • Quiz + 60-min test
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Pack 5

Trigonometric Functions

Radians, exact values and CAST, graphs and transformations, reciprocal functions, sinusoidal models.

  • 25 written questions
  • 277-question Boss Run
  • 135 cue cards
  • 12 graphing questions
  • Quiz + 70-min test
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Pack 6

Trigonometric Identities & Equations

Equivalent functions, compound and double angles, proving identities, linear and quadratic trig equations.

  • 30 written questions
  • 239-question Boss Run
  • 137 cue cards
  • 7 graphing questions
  • 27 proofs
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Pack 7

Exponential & Logarithmic Functions

Logs as exponents, transformations, log laws, exponential and log equations, growth, decay and log scales.

  • 33 written questions
  • 234-question Boss Run
  • 127 cue cards
  • 11 graphing questions
  • Quiz + 70-min test
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