## How do you find the range of a root?

To draw the graph of the f(x)=√x−2, shift the graph of y=√x two units to the right. Range = [0,∞)= {y: y≥0}. We can find the domain of this function algebraically by examining its defining equation f(x)=√x−2. We understand that we cannot take the square root of a negative number.

What is the range of the square root function?

[ 0 , ∞ [
The range of a function is the set of all possible function values. We know that the range of the square root function √ 𝑥 is [ 0 , ∞ [ . In other words, for any number 𝑦 in the interval [ 0 , ∞ [ , we can find some number 𝑥 that satisfies 𝑦 = √ 𝑥 .

Why is √ 2 an irrational number?

The actual value of √2 is undetermined. The decimal expansion of √2 is infinite because it is non-terminating and non-repeating. Any number that has a non-terminating and non-repeating decimal expansion is always an irrational number. So, √2 is an irrational number.

### Is root 2 a rational number?

Sal proves that the square root of 2 is an irrational number, i.e. it cannot be given as the ratio of two integers.

What is the range in maths?

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

How is range written?

One way to write the range of a graph is by using interval notation. We start from the bottom and write the intervals that y is defined on. Use brackets, [], when the endpoints are included and parentheses, (), when the endpoints are excluded.

## Is root 2 a natural number?

Because √2 is not an integer (2 is not a perfect square), √2 must therefore be irrational. This proof can be generalized to show that any square root of any natural number that is not a perfect square is irrational.

Is root 2 a terminating decimal?

∴ Decimal Expansion of √2 is Non Terminating non repeating.