Question

How would the domain and range of the function y = one-fourth x minus 6 be determined? Explain.

Answer 1

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 :-

$\rm \implies y = \dfrac{1}{4}x - 6$

Definitions :-

1. Range :- The range is the set of all valid y values .
2. 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 :-

$\rm Domain = ( -\infty , \infty )$

or

$\rm Domain = \{ x | x \in \mathbb{R} \}$

Range :-

$\rm Range = ( -\infty , \infty )$

or

$\rm Range = \{ y | y \in \mathbb{R}\}$