Answer
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Hint: A function is a rule which relates the values of one variable quantity to the values of another variable quantity.
Complete step by step solution: A constant function is a function whose (output) value is the same for every input value.
For example, the function \[y\left( x \right) = {\text{3}}\] is a constant function because the value of \[y\left( x \right)\] is \[{\text{3}}\] regardless of the input value $ x $.
Domain of function: The domain of a function is the complete set of possible values of the independent variable.
If\[f\left( x \right) = c\], they consist of all real numbers, there are no restrictions on the input. The only output value is the constant\[{\text{c}}\], so the range of the set \[\left\{ c \right\}\] that contains this single element
Range function: The range of a function is the complete set of all possible resulting values of the dependent variable of
For example:
Here: It is a set in the form of (\[{\text{x,y}}\]): $ \left\{ {( - 3,5),( - 2,5)( - 1,5)(2,5)(1,5)(2,5)} \right\} $
The values of\[\;{\text{y -}}\]values for the range.
Then range $ = \left\{ 5 \right\} $
Note: \[y\left( x \right) = {\text{3}}\] is the constant function where the range is $ 3 $ and the domain is $ x $.
Complete step by step solution: A constant function is a function whose (output) value is the same for every input value.
For example, the function \[y\left( x \right) = {\text{3}}\] is a constant function because the value of \[y\left( x \right)\] is \[{\text{3}}\] regardless of the input value $ x $.
Domain of function: The domain of a function is the complete set of possible values of the independent variable.
If\[f\left( x \right) = c\], they consist of all real numbers, there are no restrictions on the input. The only output value is the constant\[{\text{c}}\], so the range of the set \[\left\{ c \right\}\] that contains this single element
![seo images](https://www.vedantu.com/question-sets/4d0bdee3-85ba-4b29-84cd-004a261ed5b55366818992832440464.png)
Range function: The range of a function is the complete set of all possible resulting values of the dependent variable of
For example:
Here: It is a set in the form of (\[{\text{x,y}}\]): $ \left\{ {( - 3,5),( - 2,5)( - 1,5)(2,5)(1,5)(2,5)} \right\} $
The values of\[\;{\text{y -}}\]values for the range.
Then range $ = \left\{ 5 \right\} $
Note: \[y\left( x \right) = {\text{3}}\] is the constant function where the range is $ 3 $ and the domain is $ x $.
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