Calculus Examples

Determine if Continuous f(x) = square root of x-6
Step 1
Find the domain to determine if the expression is continuous.
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Step 1.1
Set the radicand in greater than or equal to to find where the expression is defined.
Step 1.2
Add to both sides of the inequality.
Step 1.3
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Interval Notation:
Set-Builder Notation:
Step 2
The expression is continuous.
Continuous
Step 3