Note 5:
Composition of two continuous functions is continuou..
Note 2:
If f and g are two continuous functions then f + g, f - g, fg are continuous functions..
More Solved Examples
The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of the ..
Methods of solving quadratic equations
There are four methods of solving quadratic equations. i) By factorization ii) By completing the squares iii) By using the formula iv) By graphing..
Graphical Method of Solving Simultaneous equation
The graph of a linear equation ax+by = c is a straight line. Two distinct lines always intersect at exactly one point unless they are parallel (have the same slope..
Range
The set of all the second elements of the ordered pairs of a function is called the rang..
Note:
Identity function is denoted by I A..
Example:
Discuss the continuity of the function f given by f(x) = |x - 1| + |x - 2| at ..
Bijection
Let f : A g B be a function, f is said to be a bijection if f is 1 - 1 and f is ont..
Examples:
(1) 2x 2 -1 = 0 (2) x 2 -5x+7 = 0 The solution to quadratic equations can be found using various techniques. One of them being, graphs..
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