Question

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

Answer 1

Domain = ( -∞ , ∞ )

Range = ( ∞ , ∞ )

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 = (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}\}`

Answer 2

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.

Explanation: