Stretches 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?stretch?all the ...
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...
Proportional Relationships Proportional relationships Proportional relationships describe a proportional connection between two variables This can happen in two ways Both direct and inverse proport...
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...
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...
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...
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 ...
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...
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...
