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 = 2x

^{2}– 6;

**Step 1:**Our function is y = 2x

^{2}– 6;

**Step 2:**Assume some values of ‘x’ coordinate;

Put ‘x’ = 1;

→ y = 2x

^{2}– 6;

→ y = 2 * (1)2 - 6;

→ y = - 4;

Put value of x = 3;

→ y = 2x

^{2}– 6;

→ y = 2 * (3)2 – 6;

→ y = 2 * 9 – 6;

→ y = 12;

Put value of x = 4 then we get:

→ y = 2x

^{2}– 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.