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# Graph f(x)=1/2 square root of x-1

Find the domain for so that a list of values can be picked to find a list of points, which will help graphing the radical.
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Set the radicand in greater than or equal to to find where the expression is defined.
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Interval Notation:
Set-Builder Notation:
To find the radical expression end point, substitute the value , which is the least value in the domain, into .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Simplify the numerator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Divide by .
Subtract from .
The radical expression end point is .
Select a few values from the domain. It would be more useful to select the values so that they are next to the value of the radical expression end point.
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Substitute the value into . In this case, the point is .
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Replace the variable with in the expression.
Simplify the result.
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Any root of is .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Move the negative in front of the fraction.