Question

What is the domain of y=-2x+6

Answer 1

Answer:

See below

Step-by-step explanation:

$y=f(x)=-2x+6$

Once by definition, the domain is all the possible inputs of the function, when it is defined, for the function  $f$ the domain is all real numbers.

$Dom(f) = \mathbb{R} = (-\infty, \infty )$

On the other hand, for example, the domain of tangent is

$Dom(tan) = \left\{x: x\neq \dfrac{\pi}{2} + k\pi, k\in\mathbb{Z} \right\}$

Because the tangent function is undefined for $\dfrac{\pi}{2} + k\pi, k\in\mathbb{Z}$

The domain of tangent can also be written as

$\bigcup_{k=-\infty}^{\infty} \left( \dfrac{(2k+1)\pi}{2}, \dfrac{(2k+3)\pi}{2} \right)$

Answer 2

Answer:  Explanation: y=−2x+6 => equation of straight line in slope-intercept form: Since a line extends infinitely in both directions, its domain and the range are all the real numbers.

What is the Domain and Range of y = -2x + 6? | Socratic