How to find the domain of the cosine - ACT Math
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What is the domain of 
?
What is the domain of
The domain of a function is referring to the x values that can be plugged into the function and produce a value.
The domain of the parent function 
has a domain from negative infinity to positive infinity.
The 
term only shifts the function down three units, which will not affect the domain of the cosine graph.
Therefore, the answer is 
.
The domain of a function is referring to the x values that can be plugged into the function and produce a value.
The domain of the parent function
The
Therefore, the answer is
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Given a function 
, what is a valid domain?
Given a function
The function 
is related to the parent function 
.
The domain of the parent function is 
. The values 
and 
will not affect the domain of the curve.
The answer is 
.
The function
The domain of the parent function is
The answer is
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What is the domain of the following trigonometric equation:
What is the domain of the following trigonometric equation:
For sine and cosine, they can take any for 
, thus the domain is all real numbers or:
For sine and cosine, they can take any for
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What is the domain of the function 
?
What is the domain of the function
The domain of a function refers to all possible values of 
for which an answer can be obtained. Cosine, as a function, cycles endlessly between 
and 
(subject to modifiers of the amplitude). Because there is no real number value that can be inserted into 
in this case which does not produce a value between 
and 
, the domain of cosine is effectively infinite.
The domain of a function refers to all possible values of
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What is the domain of the function 
?
What is the domain of the function
The domain of a function refers to all possible values of 
for which an answer can be obtained. Cosine, as a function, cycles endlessly between 
and 
(subject to modifiers of the amplitude). Because there is no real number value that can be inserted into 
in this case which does not produce a value between 
and 
, the domain of cosine is effectively infinite.
Note that adding 
to the end of the equation changes nothing with respect to domain, as there is no such thing as "infinity plus seven", nor "negative infinity plus seven". The function is still infinite in domain even when shifted up 
units.
The domain of a function refers to all possible values of
Note that adding
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What is the domain of the function 
?
What is the domain of the function
The domain of a function refers to all possible values of 
for which an answer can be obtained. Cosine, as a function, cycles endlessly between 
and 
(subject to modifiers of the amplitude). Because there is no real number value that can be inserted into 
in this case which does not produce a value between 
and 
, the domain of cosine is effectively infinite.
Note that in this case, neither the 
nor the 
on the outside affect the domain of the function. They do affect the amplitude, which means the value for range will change, but there is no such thing as "three times infinity" nor "three times negative infinity", so the effective domain remains infinite.
The domain of a function refers to all possible values of
Note that in this case, neither the
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