Calculus Examples

Check if Continuous Over an Interval f(x)=1/x , [1,6]
,
Step 1
To find whether the function is continuous on or not, find the domain of .
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Step 1.1
Set the denominator in equal to to find where the expression is undefined.
Step 1.2
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Interval Notation:
Set-Builder Notation:
Step 2
is continuous on .
The function is continuous.
Step 3