What you’ll learn5 learning objectivesChoose one objective for a focused lesson, or study the complete topic.1.2.1Function terminology• understand the terms function, domain, range, one-one function, inverse function and composition of functionsSyllabus objective1.2.2Range and composition• identify the range of a given function in simple cases, and find the composition of two given functions e.g. range of: x x 1f 7 for x 1H and range of: xx 1g 27 + for x R!. Including the condition that a composite function gf can only be formed when the range of f is within the domain of g.Syllabus objective1.2.3One-one and inverse functions• determine whether or not a given function is one-one, and find the inverse of a one-one function in simple cases e.g. finding the inverse of: x x23 4h 27 -+^h for <x 2 3 -Syllabus objective1.2.4One-one and inverse functions• illustrate in graphical terms the relation between a one-one function and its inverse Sketches should include an indication of the mirror line y = x.Syllabus objective1.2.5Graph transformations• understand and use the transformations of the graph of y = f(x) given by y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) and simple combinations of these. Including use of the terms 'translation', 'reflection' and 'stretch' in describing transformations. Questions may involve algebraic or trigonometric functions, or other graphs with given features.Syllabus objective