Advanced Functions

Short Questions

These questions are suitable for class warm ups or extensions at the end of the period.

This is divided by the major units of the Ontario Grade 12 Advanced Functions Course.

Intersections

STEP Questions from 2018

Solving an intersection, uses quadratic formula and some factoring. Graphing a cubic.

Solutions in the document.

Intersection of Lines and Curves

Factor/Remainder Theorem

STEP Questions from 2018

Solutions in the document.

Factor and Remainder Theorems

Logarithmic Inequalities

Mix of inequalities and logarithms for this proof. Change of base is required.

Warning: Question 2 involves e and ln x which may have to be introduced.

Solutions in the document.

Logarithmic Inequalities

Logarithmic Systems of Equations

Classic system of equations questions that involve logarithms.

Solutions in the document.

Logarithmic Systems

Trig Identities

Solutions in the document.

Trig Identities

Trig Equation

Show a new identity first, then use it to solve a nasty equation.

Solutions in the document.

Trig Equations

Exact Values in Trigonometry

Compound Angle Formula, Quadratics,

Finding Exact Values

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