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 = 8x^{2} – 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 = 8x^{2} – 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 = 8x^{2} – 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.