What you’ll learn11 learning objectivesChoose one objective for a focused lesson, or study the complete topic.—SL 2.1—Straight lines• Use gradient, intercepts and forms of a straight line.• Know parallel gradients m1=m2 and perpendicular gradients m1m2=-1.Syllabus objective—SL 2.2—Functions and inverses• Understand function, domain, range, graph and function notation.• Interpret functions as mathematical models.• Inverses undo functions, reflect in y=x and exist for one-to-one functions.Syllabus objective—SL 2.3—Graphing functions• Draw/sketch graphs from equations, contexts or technology.• Label axes and key features, including sums and differences of functions.Syllabus objective—SL 2.4—Key graph features• Determine maxima, minima, intercepts, symmetry, vertex, roots/zeros and asymptotes.• Use technology to find intersections of curves or lines.Syllabus objective—SL 2.5—Composite and inverse functions• Use composite functions (f o g)(x)=f(g(x)).• Find inverse functions and use (f o f^-1)(x)=x for one-to-one functions.Syllabus objective—SL 2.6—Quadratic functions• Use standard, factorized and vertex forms of quadratic functions.• Interpret y-intercept, x-intercepts, axis of symmetry and vertex.• Convert between quadratic forms.Syllabus objective—SL 2.7—Quadratic equations and inequalities• Solve quadratic equations and inequalities by factorization, completing the square and formula.• Use discriminant Delta=b^2-4ac to determine nature of roots.Syllabus objective—SL 2.8—Reciprocal and rational functions• Graph f(x)=1/x and rational functions of the form (ax+b)/(cx+d).• Include vertical/horizontal asymptotes and axis intercepts.Syllabus objective—SL 2.9—Exponential and logarithmic functions• Graph exponential functions a^x and e^x.• Graph logarithmic functions log_a(x) and ln x.• Understand exponential and logarithmic functions as inverses.Syllabus objective—SL 2.10—Solving equations• Solve equations graphically and analytically.• Use technology when no suitable analytic method exists; apply to real contexts.Syllabus objective—SL 2.11—Graph transformations• Apply translations, reflections and vertical/horizontal stretches.• Understand order of transformations and composite transformations.• At SL, transformations of f(ax+b) are not required.Syllabus objective