Domain and Range in Depth
Restrictions from radicals and rationals; interval notation fluency.
Overview Domain and Range in Depth — Unit Overview
This Grade 11 unit deepens domain and range work from Grade 10 by focusing on algebraic restrictions that come from radicals and rational expressions, and by building fluent use of interval notation. Learners move from reading domain and range off familiar graphs to justifying them from the structure of formulas and expressing answers precisely.
Reference Domain and Range in Piecewise-Defined Functions
This Grade 11 reference explains how to determine the domain and range of piecewise-defined functions by treating each rule together with its stated interval, then combining the results carefully. It develops intuition, gives a reliable procedure, works full examples, and addresses common mistakes such as ignoring endpoint conditions or combining pieces incorrectly.
Reference Continuity at Breakpoints in Piecewise-Defined Functions
This Grade 11 reference explains how to decide whether a piecewise-defined function is continuous at its breakpoints, where one rule stops and another begins. It develops the idea from graph behaviour to one-sided limits, gives a dependable checking procedure, works full examples including parameter cases, and addresses common mistakes.