SL 2.1

• Different forms of the equation of a straight line.

• Gradient; intercepts.

• Lines with gradients. Parallel lines. Perpendicular lines.

SL 2.2

• Concept of a function, domain, range and graph. Function notation.

• The concept of a function as a mathematical model.

• Informal concept that an inverse function reverses or undoes the effect of a function.

• Inverse function as a reflection in the line.

SL 2.3

• The graph of a function and its equation.

• Creating a sketch from information given or a context, including transferring a graph from screen to paper.

• Using technology to graph functions including their sums and differences.

SL 2.4

• Determine key features of graphs.

• Finding the point of intersection of two curves or lines using technology.

SL 2.5

• Composite functions.

• Identity function. Finding the inverse function 

SL 2.6

• The quadratic function, its graph,  intercept. Axis of symmetry.

• The forms: standard, factor and vertex form.

SL 2.7

• Solution of quadratic equations and inequalities. The quadratic formula.

• The discriminant and the nature of the roots.

SL 2.8

• The reciprocal function , its graph and self-inverse nature.

• Rational functions 

• Equations of vertical and horizontal asymptotes.

SL 2.9

• Exponential functions and their graphs: 

• Logarithmic functions and their graphs: 

SL 2.10

• Solving equations, both graphically and analytically.

• Use of technology to solve a variety of equations, including those where there is no appropriate analytic approach.

• Applications of graphing skills and solving equations that relate to real-life situations.

SL 2.11

• Transformations of graphs. Translations.

• Reflections (in both axes).

• Vertical stretch with scale factor 

• Horizontal stretch with scale factor 

• Composite transformations.

AHL 2.12

• Polynomial functions, their graphs and equations; zeros, roots and factors.

• The factor and remainder theorems.

• Sum and product of the roots of polynomial equations.

AHL 2.13

• Rational functions

AHL 2.14

• Odd and even functions.

• Finding the inverse function, including domain restriction.

• Self-inverse functions.

AHL 2.15

• Solutions: graphically and analytically.

AHL 2.16

• The graphs of the functions.

• Solution of modulus equations and inequalities.