Question

How would the domain & range of Y= 1/4x-6 be determined HELP ASAPP!!!

Answer 1

Answer:

$Domain=\mathbb{R}\to x\in(-\infty,\ \infty)\\\\Range=\mathbb{R}\to x\in(-\infty,\ \infty)$

Step-by-step explanation:

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

It's an equation of a linear function in the slope-intercept form:

$y=mx+b$

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.