7/26/2012
The Domain of a Function
IN OTHER WORDS:
A) You can NOT divide by zero.
Any values that would result in a zero denominator
are NOT allowed, therefore the domain of the
function (possible x values) would be limited.
B) You can NOT take the square root (or any even root) of
a negative number.
Any values that would result in negatives under an
even radical (such as square roots) result in a
domain restriction.
Find the Domain of the Function
This is a polynomial function, so the domain of f is
all real numbers or
Find the Domain of the Function
This is a rational function. So the denominator
cannot equal zero.
The domain of f is
The domain in interval
notation is
Find the Domain of the Function
Domains of Other Functions
This is a root function where n = 5, an odd number. Therefore the
domain is all real numbers for which function
is defined.
is a rational function, so all values of x that cause the
denominator to equal to zero must be eliminated. These
values cause the function to be undefined.
The domain of f is
The domain in interval notation is
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7/26/2012
Example
Example
Find the domain.
Example
Example
• Find the domain
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