Modulus Functions - Sketching Graphs Modulus functions The modulus function makes any ‘input’ positive |x| = x if x ≥ 0 |f(x)| = f(x) if f(x) ≥ 0 |x| = -x if x < 0 |f(x)| = -f(x) if f(...
Inverse Functions What is an inverse function? An inverse function is the opposite to the original function An inverse function is denoted by The inverse of a function only exists if the function i...
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...
很多同学或家长都认为：A-Level成绩只能申请英国大学。但实际上还有很多英联邦国家的大学，都是认可A-Level成绩的，比如澳大利亚的大学，直接接受A-Level成绩入读本科。 同时，澳洲有八所高校在世界各大权威排行...
Proportional Relationships Proportional relationships Proportional relationships describe a proportional connection between two variables This can happen in two ways Direct proportion one variable ...
Solving Equations Graphically Solving (simultaneous) equations graphically This is a way to solve simultaneous equations (see Simultaneous Equations) Coordinates of the intersections are the...
Reciprocal Graphs - Sketching What are reciprocal graphs? Reciprocal graphs involve equations with an term on the denominator e.g. There are two basic reciprocal graphs to know for A level The seco...
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 ...
Improper Algebraic Fractions What are top-heavy (improper) rational expressions (or algrbraic fractions)? The degree of the numerator is greater than or equal to the degree of the denominator How d...
