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Functions and Continuity


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Inverse image


When a function f has an inverse [symbol] then the image of a set A under the inverse may also be found. This is the set [Equation goes here - download the original pdf to see it.] Example (11) Find the inverse image of the set [Equation goes here - download the original pdf to see it.] of the function [Equation goes here - download the original pdf to see it.] [Example goes here - download the original pdf to see it.]
Contents of
Functions and Continuity

1 Functions
2 Graph
3 Inverse of a Function: monotone increasing or decreasing functions
4 The reciprocal function - singularities
5 Functions defined piecewise on their domain
6 Limits
7 Formal definition of a limit
8 Formal definition of the limit of a function at a point x = a
9 Informal arguments
10 Continuity
11 Combining limits
12 Quotients
13 Image set
14 Inverse image
15 Odd and even functions

Related articles: (1) Stationary points, higher derivatives and curve sketching, (2) Limiting processes