Calculus Examples

Graph x = square root of y
Step 1
The domain in terms of are all the values that make the radicand non-negative.
Step 2
To find the radical expression end point, substitute the value , which is the least value in the domain, into .
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Step 2.1
Replace the variable with in the expression.
Step 2.2
Simplify the result.
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Step 2.2.1
Remove parentheses.
Step 2.2.2
Rewrite as .
Step 2.2.3
Pull terms out from under the radical, assuming positive real numbers.
Step 2.2.4
The final answer is .
Step 3
The radical expression end point is .
Step 4
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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Step 4.1
Substitute the value into . In this case, the point is .
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Step 4.1.1
Replace the variable with in the expression.
Step 4.1.2
Simplify the result.
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Step 4.1.2.1
Remove parentheses.
Step 4.1.2.2
Any root of is .
Step 4.1.2.3
The final answer is .
Step 4.2
Substitute the value into . In this case, the point is .
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Step 4.2.1
Replace the variable with in the expression.
Step 4.2.2
Simplify the result.
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Step 4.2.2.1
Remove parentheses.
Step 4.2.2.2
The final answer is .
Step 4.3
The square root can be graphed using the points around the vertex
Step 5