Answer to Question #253110 in Calculus for syra

Answer 1

Given that $2x+ 3y = 6$

$y =\dfrac{6-2x}3$

The above function of x is defined for all real values of x. Hence its domain is the set of real numbers.

The function of y will have no minima & no maxima & may have any value between -∞ & ∞

Hence, the domain x ∈ (−∞ ,∞)

and the range y ∈ (−∞, ∞)