One-one function
Every one element of A corresponds to one element of B. Every first element has a corresponding second element. One-one relations in examples 1 and 2 are called one-one functions. Every element of set A has one image in set B. {(1h..
Every one element of A corresponds to one element of B. Every first element has a corresponding second element. One-one relations in examples 1 and 2 are called one-one functions. Every element of set A has one image in set B. {(1h..Many-one function
Every one element of A corresponds to more than one element of B. In example 3, one image has three pre-images. In example 4, one image has four pre-images. Therefore, many-one relations in examples 3 and 4 are many-one..
Every one element of A corresponds to more than one element of B. In example 3, one image has three pre-images. In example 4, one image has four pre-images. Therefore, many-one relations in examples 3 and 4 are many-one..3. Onto function
Every element of the set B has at least one pre-image. In above fig.(i), the function is one-one and onto, while in fig.(ii) the function is many-one and on..
Every element of the set B has at least one pre-image. In above fig.(i), the function is one-one and onto, while in fig.(ii) the function is many-one and on..Function
Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresp..
Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresp..Function Solved Examples
Reasons: (i) (0, 5), (0, 1) pairs make it one - many, one - many is not a function. (ii) Pre-image 2 does not have an image in B. It becomes easy to discuss a function with the help of an arrow diagram. Given A = {-2, -1, 0, 1, 2} and B = ..
Reasons: (i) (0, 5), (0, 1) pairs make it one - many, one - many is not a function. (ii) Pre-image 2 does not have an image in B. It becomes easy to discuss a function with the help of an arrow diagram. Given A = {-2, -1, 0, 1, 2} and B = ..1. One-one function
There is one-one correspondence between the elements of the set A and the set B..
There is one-one correspondence between the elements of the set A and the set B..(iii) one - many
For one element of A there is more than one corresponding element of B..
For one element of A there is more than one corresponding element of B..Linear Equations in One Variable
An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of one variable and of first order (i.e..
An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of one variable and of first order (i.e..One Sided Limit
We have discussed earlier about right hand limit and left hand limit. Both these limits are called one sided limits. x approaches a from the right side and through values greater than a. For a function f(x), we say as left hand Limit, as x approaches a from the left and through the v..
We have discussed earlier about right hand limit and left hand limit. Both these limits are called one sided limits. x approaches a from the right side and through values greater than a. For a function f(x), we say as left hand Limit, as x approaches a from the left and through the v..1)
Graph the following: x > 2 and y < 3 The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. In the above graph, the common area of the inequations (shaded area) represents solution set. y < 3 is th..
Graph the following: x > 2 and y < 3 The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. In the above graph, the common area of the inequations (shaded area) represents solution set. y < 3 is th..See what our Users say :
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