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Set notations, relations, functions
Set notations, relations, functionsQuick revision
Describe the following number lines with set notation
Find the range of the following functions or relations
State the implied domain of the following and find its range
Identify what type of relations are the following equations Y = 2x2 - 3 , [0, 2]Y2 = 4 x2Y = (16 x2)Y = -2/(x-3)2 , [2,3) U (3, )(x -2)2 + y2 = 4 , (2, 4]
Inverse relations/functionsSwap y and x Or basically reflect the graph, coordinate points in the y = x line (x,y) (y, x)E.g (2,3) (3,2)
A function must be a one to one function for an inverse to existHowever inverse relation will still exist for functions that are not one to one
State domain and range of the following inverse functions
Translations
What translations have occurred in the following
Sketch using translation rules
Dilation from the x axis/parallel to the y axis
Or parallel to the x-axis
For the graphs above describe what dilations did the graph undergo from its original function Combination of transformation Always DRT unless specified otherwise
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