Question

Define constant function. Also write its graph. Domain and range of function.

Answer 1

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 $x$.