Advanced Functions

Short Questions

Polynomials

Logarithms

Trigonometry

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.

Polynomials

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

Function Notation

Includes composite functions or notation that would be a stretch from grade 11 functions.

Function Notation

Polynomial Inequalities

Questions that deal with various inequalities.

Polynomial Inequalities

Logarithms

A wide variety of logarithm questions dealing with rules.

Logarithms

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

Trigonometry

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

Explorations

Poolynomials

Absolute Value Graphs and Equations

This investigation focuses primarily on the piecewise form of a absolute value versus the function of an absolute value.

Step 2 2022

Absolute Value Function

Logarithms

Estimating Using Logarithms

Involves using logarithms to estimate the first digit of an exponent. Requires logarithm laws.

Estimating Using Logarithms

Trigonometry

Exact Values in Trigonometry

Compound Angle Formula, Quadratics,

Finding Exact Values

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