Respuesta :
Answer:
Domain = ( -∞ , ∞ )
Range = ( ∞ , ∞ )
Step-by-step explanation:
A function is given to us and we need to find the domain and range of the given function .
The function :-
[tex]\rm \implies y = \dfrac{1}{4}x - 6 [/tex]
Definitions :-
- Range :- The range is the set of all valid y values .
- Domain :- All real numbers except where the expression is undefined.
In this case, there is no real number that makes the expression undefined. Therefore the domain will be :-
Domain :-
[tex]\rm Domain = ( -\infty , \infty ) [/tex]
or
[tex]\rm Domain = \{ x | x \in \mathbb{R} \}[/tex]
Range :-
[tex]\rm Range = ( -\infty , \infty ) [/tex]
or
[tex]\rm Range = \{ y | y \in \mathbb{R}\} [/tex]
Answer:
Create a table or a graph of the function. The domain represents all input values and the range represents all output values. The domain and range contain all real numbers.
Step-by-step explanation: