# Why can range not be negative?

## Why can range not be negative?

No. Because the range formula subtracts the lowest number from the highest number, the range is always zero or a positive number.

## Can a range of a function be negative?

Negative values can be used for , but the range is restricted because . The correct answer is: The domain is all real numbers and the range is all real numbers such that .

Why can’t the range of a square root function be negative?

Range = [0,∞) = {x: x≥0}. We can also find the domain of the function f by examining the equation f(x)=√4−x. We cannot take the square root of a negative number, so the expression under the radical must be nonnegative (zero or positive). Of course, multiplying by a negative number reverses the inequality symbol.

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Can the range of a square root be negative?

Square root of any negative number has no solution in real number domain. So the function f(x) = sqrt(x) has no negative range. The range is from zero to any positive number.

### What if the range is negative?

How can I find the range with negative and positive numbers? You know that if a negative number is higher, it is less (eg -4 < -2), so the negative with the “highest” number would be the lowest part, and you would then take the highest positive number, and then subtract the lower part from the higher.

### How do you find the range of a negative set of data?

The range is the easiest to find, Range = highest value minus lowest value. This gives us RANGE = 99 − 13 = 86.

How do you find the range with negatives?

Why range of square root function is positive?

Since the square root must always be positive or 0, . That means . The domain is all real numbers x where x ≥ −5, and the range is all real numbers f(x) such that f(x) ≥ −2.

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#### Why is the range of a square root function only positive?

That’s because it is only a branch of square root function, its principal value. This set does not have a meaning: {y∈C | y≥0}. (unless they are real numbers i.e. unless their imaginary part is zero).

#### How do you find the domain of a negative square root?

A radical function is expressed as f(x)=√x f ( x ) = x , (usually just referred to as the “square root function”) is a function that maps the set of non-negative real numbers onto itself. To determine the domain of a radical expression, set the radicand equal to zero, then solve for x .

Why can the function f(x)=√x not have a negative range?

The range of this function in interval notation is [0,∞), which omits all possible negative solutions of the square root function. – Quora Why can the function f (x)=√x not have a negative range? The range of this function in interval notation is [0,∞), which omits all possible negative solutions of the square root function.

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What is the range of f(x) = sqrt(x)?

Zero has square root of zero. Any positive number has 2 square root solutions, one positive & one negative. Square root of any negative number has no solution in real number domain. So the function f (x) = sqrt (x) has no negative range. The range is from zero to any positive number.

## What does it mean when F of X is less than 0?

So f of x– which is really being plotted on the vertical axis right over here– x is the horizontal axis. f of x being less than 0 really means that the graph is below the x-axis. So the function is negative in this interval right over here and this interval over here.

## What is the range of square root of a negative number?

Square root of any negative number has no solution in real number domain. So the function f (x) = sqrt (x) has no negative range. The range is from zero to any positive number. [0, infinity) : includes zero & up to but not including infinity.