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What is the Difference Between Domain and Range?

TopSet of values of inputs is called as Domain of function, and Set of outputs is called as range of function. For example: (2, 5) (7, 9).
Domain = (2, 7),
Range = (5, 9). Now we will see what is the difference between domain and range? For a function containing 'x' and 'y' differences can be given as:
 

Domain

Range

In a function values of 'x' are domain of function

In a function values of y are range of function

It is a set of values of independent variable

It is a set of values of dependent variable

It can be time

It is weight


This is mainly the basic difference between Domain and Range of a Function. Now we will see how to find the domain of a given function. It will be clear with help of an example:

For example: We have a function y = 8x2 – 10?

Solution: Here we will put value of x – coordinate to find the value of y – coordinate. Assume some values of x – coordinates to find values of y – coordinates.

y = 8x2 – 10, now put the value of 'x' as -1, on putting value we get:
y = 8 (-1)2 – 10,
y = 8 – 10 = y = - 2.
Now put value of x = 2;
y = 8x2 – 10,
y = 8 (2)2 – 10,
y = 32 – 10 = 22,
Now put value of x = 5 then we get:
y = 8 (5)2 – 10,
y = 200 – 10,
y = 190
So we get value of ‘x’ and ‘y’:

(-1, - 2), (2, 22), (5, 190), now this is the relation in which we have to find domain and range.
Input values are domain of function.
Domain = - 1, 2, 5
Output values are range of function.
Range = - 2, 22, 190.
This is all about domain and range of function.