Finding the domain of a function as a set of ordered pairs
Find the
domain of the following function:
.
First identify the input values. The input value is the first coordinate in an
ordered pair . There are no restrictions, as the ordered pairs are simply listed. The domain is the set of the first coordinates of the ordered pairs.
Given a function written in equation form, find the domain.
Identify the input values.
Identify any restrictions on the input and exclude those values from the domain.
Write the domain in interval form, if possible.
Finding the domain of a function
Find the domain of the function
The input value, shown by the variable
in the equation, is squared and then the result is lowered by one. Any real number may be squared and then be lowered by one, so there are no restrictions on the domain of this function. The domain is the set of real numbers.
Given a function written in an equation form that includes a fraction, find the domain.
Identify the input values.
Identify any restrictions on the input. If there is a denominator in the function’s formula, set the denominator equal to zero and solve for
. If the function’s formula contains an even root, set the radicand greater than or equal to 0, and then solve.
Write the domain in interval form, making sure to exclude any restricted values from the domain.
Finding the domain of a function involving a denominator
Find the
domain of the function
When there is a denominator, we want to include only values of the input that do not force the denominator to be zero. So, we will set the denominator equal to 0 and solve for
Now, we will exclude 2 from the domain. The answers are all real numbers where
or
as shown in
[link] . We can use a symbol known as the union,
to combine the two sets. In interval notation, we write the solution:
Given a function written in equation form including an even root, find the domain.
Identify the input values.
Since there is an even root, exclude any real numbers that result in a negative number in the radicand. Set the radicand greater than or equal to zero and solve for
The solution(s) are the domain of the function. If possible, write the answer in interval form.
Finding the domain of a function with an even root
Find the
domain of the function
When there is an even root in the formula, we exclude any real numbers that result in a negative number in the radicand.
Set the radicand greater than or equal to zero and solve for
Now, we will exclude any number greater than 7 from the domain. The answers are all real numbers less than or equal to
or
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discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
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DENG
cells is the basic structure and functions of all living things
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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