Answer
Verified
450.3k+ views
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
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 $.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE