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Arrow Diagram or Papy Graph
It is named after the mathematician George Papy. The elements of one set are placed in one circle and the elements of the other set are placed in the second circle. Arrows indicate the passing of elements of set A to set B or set B to set A. (i) A x B = {(3, 2), (3, 4), (3, 6), (5, 2), (5, 4), (5,..
Real Functions and their Graphs
Real Function: A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real number..
To plot the graph of a linear equation
Re-write the given equation expressing one term in terms of the other..
Graph of Linear Equation in one variable
ax + b = 0 is a linear equation in one variable . The graph of x = a is a line parallel to y-axis at x=a. The graph of y=b is a line parallel to x-axis at y = ..
Graph of Linear Equation in one variable
ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y, for all values of y, x = -2 Hence x = -2 is a line parallel to the y-axis at x = -2. Consider the equation y - 5 = 0 y - 5 = 0 y = 5 Since this equation is indep..
Simultaneous inequations
1) - Graph the followin..
Example 2:
Plot the graph of 4x+y=..
Example 3:
Plot the graph of 3x-2y=..
Note:
The graph of x = a is a line parallel to y-axis at x=a. The graph of y=b is a line parallel to x-axis at y = ..
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