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Functions and graphs

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Restricted domains and graph reading
1Read restricted graphs and horizontal level setsOpen, set of 8LessonPractice
Linear and polynomial graphs
2Find the gradient of a line through two pointsOpen, set of 8LessonPractice
3Find the equation of a line through two pointsOpen, set of 8LessonPractice
4Solve a pair of simultaneous linear equationsOpen, set of 8LessonPractice
5Read the vertical-axis intercept and gradient from an equationOpen, set of 8LessonPractice
6Read the point of intersection of two linesOpen, set of 8LessonPractice
7Construct a linear model from a descriptionOpen, set of 8LessonPractice
8Interpret the graph of a linear modelOpen, set of 8LessonPractice
9Transform a quadratic and find its key featuresOpen, set of 8LessonPractice
10Determine a quadratic rule from exact informationOpen, set of 8LessonPractice
11Analyse signs and solve a quadratic inequalityOpen, set of 8LessonPractice
12Analyse a cubic graph or determine its ruleOpen, set of 8LessonPractice
13Interpret and determine a transformed power functionOpen, set of 8LessonPractice
14Connect a factorised higher-degree rule and its graphOpen, set of 8LessonPractice
15Solve a higher-degree polynomial equation or inequalityOpen, set of 8LessonPractice
16Approximate solutions from intersections of two graphsOpen, set of 8LessonPractice
17Classify a relation and state its domain and rangeOpen, set of 8LessonPractice
18Evaluate and determine function rulesOpen, set of 8LessonPractice
19Apply and describe transformations of a functionOpen, set of 8LessonPractice
Maximal domains and power functions
20Analyse the general rational-power familyOpen, set of 8LessonPractice
21Find the maximal domain of an algebraic functionOpen, set of 8LessonPractice
22Analyse reciprocal and square-reciprocal functionsOpen, set of 8LessonPractice
23Analyse sideways-parabola and root-function familiesOpen, set of 8LessonPractice
24Determine a power-family rule from features and pointsOpen, set of 8LessonPractice
25Work with sets and interval notationOpen, set of 8LessonPractice
26Simplify, compare and operate with surdsOpen, set of 8LessonPractice
Combined and piecewise functions
27Combine function rules and ordinatesOpen, set of 8LessonPractice
28Recognise equivalent polynomial formsOpen, set of 8LessonPractice
29Use a piecewise linear modelOpen, set of 8LessonPractice
Circular and exponential graphs
30Evaluate exact circular-function values by symmetry and periodicityOpen, set of 8LessonPractice
31Key points and features of the basic sine and cosine graphsOpen, set of 8LessonPractice
32Transform and reconstruct sine and cosine functionsOpen, set of 8LessonPractice
33Features and transformations of tangent functionsOpen, set of 8LessonPractice
34Form and use periodic sine and cosine modelsOpen, set of 8LessonPractice
35Analyse exponential and logarithmic graphsOpen, set of 8LessonPractice
36Interpret and use an exponential modelOpen, set of 8LessonPractice
Model selection and interpretation
37Select and interpret a function modelOpen, set of 8LessonPractice
38Evaluate and interpret a restricted rational modelOpen, set of 8LessonPractice
Chapter 1Chapter 3