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. |
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Revision as of 18:34, 3 September 2016
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.
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