CIE A Level Maths: Pure 1复习笔记1.5.1 Translations
Translations What are graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations With a translation t...
CIE A Level Maths: Pure 1复习笔记1.4.4 Proportional Relationships
Proportional Relationships Proportional relationships Proportional relationships describe a proportional connection between two variables This can happen in two ways Both direct and inverse proport...
CIE A Level Maths: Pure 1复习笔记1.4.3 Solving Equations Graphically
Solving Equations Graphically Solving (simultaneous) equations graphically This is a way to solve simultaneous equations (see Simultaneous Equations) Coordinates of the intersections are the soluti...
CIE A Level Maths: Pure 1复习笔记1.4.2 Reciprocal Graphs - Sketching
Reciprocal Graphs - Sketching What are reciprocal graphs? The second one of these is always positive More reciprocal graphs You also need to recognise graphs where the numerator is not one The sign...
CIE A Level Maths: Pure 1复习笔记1.4.1 Sketching Polynomials
Sketching Polynomials Sketching the graph of a polynomial Remember a polynomial is any finite function with non-negative indices, that could mean a quadratic, cubic, quartic or higher power When as...
CIE A Level Maths: Pure 1复习笔记1.3.3 Inverse Functions
Inverse Functions Inverse functions An inverse function is the opposite to the original function It is denoted by f-1(x) An inverse only exists for one-to-one functions Graphs of inverse functions ...
CIE A Level Maths: Pure 1复习笔记1.3.2 Composite Functions
Composite Functions What is a composite function? A composite function is where one function is applied after another function The ‘output’ of one function will be the ‘input’ of the next one Somet...
CIE A Level Maths: Pure 1复习笔记1.3.1 Language of Functions
Language of Functions Language of functions The language of functions has many keywords associated with it that need to be understood What are mappings? A mapping takes an ‘input’ from one set of v...
CIE A Level Maths: Pure 1复习笔记1.2.6 Inequalities on Graphs
Inequalities on Graphs Inequalities on graphs Inequalities can be represented on graphs by shaded regions and dotted or solid lines These inequalities have two variables, x and y Several inequaliti...
