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How to Find the Range of a Set of Numbers?

TopSet of inputs is called as Domain of function and Set of corresponding outputs is known as range of function. Now we will see how to find The Range of a set of Numbers.
Steps to be followed to find the range of given set are:

Step 1: Take a function. Then assume some values for one variable to find values of another variable.

Step 2: After applying step 1, we will have a set of numbers. According to definition of range we can say that output values are range of function. Now we will understand this concept with help of an example:
Suppose we have a function y = 2x2 – 6;

Step 1: Our function is y = 2x2 – 6;

Step 2: Assume some values of ‘x’ coordinate;
Put ‘x’ = 1;
→ y = 2x2 – 6;
→ y = 2 * (1)2 - 6;
→ y = - 4;
Put value of x = 3;
→ y = 2x2 – 6;
→ y = 2 * (3)2 – 6;
→ y = 2 * 9 – 6;
→ y = 12;
Put value of x = 4 then we get:
→ y = 2x2 – 6;
→ y = 2 * (4)2 – 6;
→ y = 2 * 16 – 6;
→ y = 26;
So we get value of ‘x’ and ‘y’:
(1, -4), (3, 12), (4, 26), now this is the relation in which we have to range.
Output values are range of function.
Range = - 4, 12, 26.
This is all about range of function.