Calculus Examples

Determine if Continuous f(x)=(x^2-16)/(x-4)
Step 1
Find the domain to determine if the expression is continuous.
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Step 1.1
Set the denominator in equal to to find where the expression is undefined.
Step 1.2
Add to both sides of the equation.
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
Since the domain is not all real numbers, is not continuous over all real numbers.
Not continuous
Step 3