Answer:
[tex]Domain=\mathbb{R}\to x\in(-\infty,\ \infty)\\\\Range=\mathbb{R}\to x\in(-\infty,\ \infty)[/tex]
Step-by-step explanation:
[tex]y=\dfrac{1}{4}x-6}[/tex]
It's an equation of a linear function in the slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The domain of any linear function is the set of all real numbers.
The range of any linear function where m ≠ 0 is the set of all real number.
If m = 0, then the equation of a line is y = b. Then the range is {b}.
We have m = 1/4 ≠ 0. Therefore the range is the set of any real numbers.
