Difference between revisions of "Constant function"
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| − | A '''constant function''' is a [[function]] which has a [[constant]] output: the value of the function does not depend on the value of its input. Equivalently, a constant function is a function whose [[range]] has only a single value. For example, <math>f(x)=4</math> is a constant function, and | + | A '''constant function''' is a [[function]] which has a [[constant]] output: the value of the function does not depend on the value of its input. Equivalently, a constant function is a function whose [[range]] has only a single value. For example, <math>f(x)=4</math> is a constant function because <math>4</math> always equals <math>4</math>, and <math>g(x)=\log_{34} e^{\pi-\frac{1}{2}}</math> is a constant function since <math>\log_{34} e^{\pi-\frac{1}{2}}</math> is always equal to <math>\log_{34} e^{\pi-\frac{1}{2}}</math>. So, basically, a constant function is a function that for whatever input you put in, it always returns the same value, or a constant. These functions are not included with the [[Rational Root Theorem]] since they usually do not have roots (unless the constant function is <math>f(x)=0</math>) |
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Latest revision as of 13:06, 9 May 2024
A constant function is a function which has a constant output: the value of the function does not depend on the value of its input. Equivalently, a constant function is a function whose range has only a single value. For example, 
is a constant function because 
always equals , and 
is a constant function since 
is always equal to . So, basically, a constant function is a function that for whatever input you put in, it always returns the same value, or a constant. These functions are not included with the Rational Root Theorem since they usually do not have roots (unless the constant function is 
)
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